I don't see the version of LibreOffice in your Apple crash trace. Which version of LibreOffice are you using ?

AppStore (Collabora) or Vanilla, or TDF provided download (LibreOffice website download page) ?

Another thing, although less frequent a problem than previously : are you using any assistive technology software, e.g. screen readers, zooms, etc ?

For compariosn, I'm running the latest production release and a current master build on a Mac mini 2010 Core Duo with 4Gb RAM, and I don't see those kind of crashes. My video card is different to yours though, so perhaps there is an issue there ?

I was the LibreOffice website download version from 21 December 2015.  It failed to create my user info in /Users/my name/Library/Application Support.
I deleted this version and re-installed from the app store LibreOffice vanilla.  Same results - crash on start - failed to create user info.

Here is the crash report:

Process:               soffice [2519]
Path:                  /Applications/LibreOffice Vanilla.app/Contents/MacOS/soffice
Identifier:            com.collabora.libreoffice-free
Version:               5.0.2002 (5.0.2002)
App Item ID:           921923693
App External ID:       813409279
Code Type:             X86-64 (Native)
Parent Process:        ??? [1]
Responsible:           soffice [2519]
User ID:               501

Date/Time:             2015-12-22 07:53:33.134 -0500
OS Version:            Mac OS X 10.11.2 (15C50)
Report Version:        11
Anonymous UUID:        CDAD1137-08E8-E01E-1D84-F998E3878FFB

Sleep/Wake UUID:       C9A4A2B4-AC48-4454-AE83-78097277F8DE

Time Awake Since Boot: 68000 seconds
Time Since Wake:       4300 seconds

System Integrity Protection: enabled

Crashed Thread:        0  Dispatch queue: com.apple.main-thread

Exception Type:        EXC_BAD_ACCESS (SIGSEGV)
Exception Codes:       KERN_INVALID_ADDRESS at 0x0000000000000000
Exception Note:        EXC_CORPSE_NOTIFY

VM Regions Near 0:
--> 
    __TEXT                 000000010b418000-000000010b419000 [    4K] r-x/rwx SM=COW  /Applications/LibreOffice Vanilla.app/Contents/MacOS/soffice

Thread 0 Crashed:: Dispatch queue: com.apple.main-thread
0   libvcllo.dylib                	0x000000010f1fe2f4 -[VCL_NSApplication screenParametersChanged:] + 20
1   com.apple.CoreFoundation      	0x00007fff94aa270c __CFNOTIFICATIONCENTER_IS_CALLING_OUT_TO_AN_OBSERVER__ + 12
2   com.apple.CoreFoundation      	0x00007fff94aa267f ___CFXRegistrationPost_block_invoke + 63
3   com.apple.CoreFoundation      	0x00007fff94aa1d47 _CFXRegistrationPost + 407
4   com.apple.CoreFoundation      	0x00007fff94aa1ab2 ___CFXNotificationPost_block_invoke + 50
5   com.apple.CoreFoundation      	0x00007fff94a9bd42 -[_CFXNotificationRegistrar find:object:observer:enumerator:] + 1922
6   com.apple.CoreFoundation      	0x00007fff9498a145 _CFXNotificationPost + 693
7   com.apple.Foundation          	0x00007fff8ba7a921 -[NSNotificationCenter postNotificationName:object:userInfo:] + 66
8   com.apple.AppKit              	0x00007fff88efdca8 -[NSApplication _reactToScreenInvalidationImmediately:] + 383
9   com.apple.AppKit              	0x00007fff88efdaf9 __44-[NSApplication _reactToScreenInvalidation:]_block_invoke + 59
10  com.apple.CoreFoundation      	0x00007fff949f84ac __CFRUNLOOP_IS_CALLING_OUT_TO_A_BLOCK__ + 12
11  com.apple.CoreFoundation      	0x00007fff949ea165 __CFRunLoopDoBlocks + 341
12  com.apple.CoreFoundation      	0x00007fff949e9ecb __CFRunLoopRun + 2347
13  com.apple.CoreFoundation      	0x00007fff949e9338 CFRunLoopRunSpecific + 296
14  com.apple.HIToolbox           	0x00007fff946ae935 RunCurrentEventLoopInMode + 235
15  com.apple.HIToolbox           	0x00007fff946ae677 ReceiveNextEventCommon + 184
16  com.apple.HIToolbox           	0x00007fff946ae5af _BlockUntilNextEventMatchingListInModeWithFilter + 71
17  com.apple.AppKit              	0x00007fff88bae0ee _DPSNextEvent + 1067
18  com.apple.AppKit              	0x00007fff88f7a943 -[NSApplication _nextEventMatchingEventMask:untilDate:inMode:dequeue:] + 454
19  com.apple.AppKit              	0x00007fff88ba3fc8 -[NSApplication run] + 682
20  com.apple.AppKit              	0x00007fff88b26520 NSApplicationMain + 1176
21  libvcllo.dylib                	0x000000010f1ccf55 ImplSVMainHook(int*) + 293
22  libvcllo.dylib                	0x000000010f16918a SVMain() + 26
23  libsofficeapp.dylib           	0x000000010b5083fb soffice_main + 219
24  com.collabora.libreoffice-free	0x000000010b418ee0 main + 16
25  libdyld.dylib                 	0x00007fff8e08d5ad start + 1

Thread 1:
0   libsystem_kernel.dylib        	0x00007fff8717aeb2 __psynch_cvwait + 10
1   libsystem_pthread.dylib       	0x00007fff87651150 _pthread_cond_wait + 767
2   libuno_sal.dylib.3            	0x000000010b424ca8 rtl_cache_wsupdate_wait(unsigned int) + 72
3   libuno_sal.dylib.3            	0x000000010b424c1c rtl_cache_wsupdate_all(void*) + 76
4   libsystem_pthread.dylib       	0x00007fff87650c13 _pthread_body + 131
5   libsystem_pthread.dylib       	0x00007fff87650b90 _pthread_start + 168
6   libsystem_pthread.dylib       	0x00007fff8764e375 thread_start + 13

Thread 2:
0   libsystem_kernel.dylib        	0x00007fff8717b6de __workq_kernreturn + 10
1   libsystem_pthread.dylib       	0x00007fff87650729 _pthread_wqthread + 1283
2   libsystem_pthread.dylib       	0x00007fff8764e365 start_wqthread + 13

Thread 3:: Dispatch queue: com.apple.libdispatch-manager
0   libsystem_kernel.dylib        	0x00007fff8717bff6 kevent_qos + 10
1   libdispatch.dylib             	0x00007fff98bd8099 _dispatch_mgr_invoke + 216
2   libdispatch.dylib             	0x00007fff98bd7d01 _dispatch_mgr_thread + 52

Thread 4:
0   libsystem_kernel.dylib        	0x00007fff8717b6de __workq_kernreturn + 10
1   libsystem_pthread.dylib       	0x00007fff87650729 _pthread_wqthread + 1283
2   libsystem_pthread.dylib       	0x00007fff8764e365 start_wqthread + 13

Thread 5:
0   libsystem_kernel.dylib        	0x00007fff8717b6de __workq_kernreturn + 10
1   libsystem_pthread.dylib       	0x00007fff87650729 _pthread_wqthread + 1283
2   libsystem_pthread.dylib       	0x00007fff8764e365 start_wqthread + 13

Thread 6:
0   libsystem_kernel.dylib        	0x00007fff8717b6de __workq_kernreturn + 10
1   libsystem_pthread.dylib       	0x00007fff87650729 _pthread_wqthread + 1283
2   libsystem_pthread.dylib       	0x00007fff8764e365 start_wqthread + 13

Thread 7:
0   libsystem_kernel.dylib        	0x00007fff8717b6de __workq_kernreturn + 10
1   libsystem_pthread.dylib       	0x00007fff87650729 _pthread_wqthread + 1283
2   libsystem_pthread.dylib       	0x00007fff8764e365 start_wqthread + 13

Thread 0 crashed with X86 Thread State (64-bit):
  rax: 0x00007fab93c369b0  rbx: 0x00007fff547e57f8  rcx: 0x00007fab93c3b828  rdx: 0x00007fab93d7b5b0
  rdi: 0x0000000000000000  rsi: 0x000000010f23b23e  rbp: 0x00007fff547e57b0  rsp: 0x00007fff547e5790
   r8: 0x000000000000001f   r9: 0x00007fab93c3b7e0  r10: 0x00000000ffffffff  r11: 0x000000010f1fe2e0
  r12: 0x00007fab93d7b5b0  r13: 0x00007fab93c3b7e0  r14: 0x00007fab93c3b820  r15: 0x0000000000000000
  rip: 0x000000010f1fe2f4  rfl: 0x0000000000010202  cr2: 0x0000700000187000
  
Logical CPU:     0
Error Code:      0x02000170
Trap Number:     133


Binary Images:
       0x10b418000 -        0x10b418ff7 +com.collabora.libreoffice-free (5.0.2002 - 5.0.2002) <FD90268A-6865-3C38-BDF7-57322A258A76> /Applications/LibreOffice Vanilla.app/Contents/MacOS/soffice
       0x10b41d000 -        0x10b467fff +libuno_sal.dylib.3 (0) <474CFB9C-C083-3679-B185-7FF681FE0990> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libuno_sal.dylib.3
       0x10b4d9000 -        0x10b541fff +libsofficeapp.dylib (0) <258420A9-6E48-370E-96FD-F8FB57DCF7D4> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libsofficeapp.dylib
       0x10b61a000 -        0x10b7c0fff +libbasebmplo.dylib (0) <6D1A2858-8D53-3FFA-924C-3F5CAC7E6AAE> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libbasebmplo.dylib
       0x10bc98000 -        0x10bdaefff +libcomphelper.dylib (0) <627B0836-8F2D-347C-BE68-30CC724A0B72> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libcomphelper.dylib
       0x10c07b000 -        0x10c0a3fff +libuno_cppu.dylib.3 (0) <80DB1314-2FCD-33F7-89A0-1DBAE7E30B9A> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libuno_cppu.dylib.3
       0x10c0ec000 -        0x10c1bbff7 +libuno_cppuhelpergcc3.dylib.3 (0) <0F41ADFF-EF30-377E-A507-7867F4B5CB44> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libuno_cppuhelpergcc3.dylib.3
       0x10c3cd000 -        0x10c3fdfff +libdeploymentmisclo.dylib (0) <34D307FB-0EC4-39EB-9756-6EFD5199B94F> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libdeploymentmisclo.dylib
       0x10c476000 -        0x10c4a9fff +libi18nlangtag.dylib (0) <AFEA4D1F-64DD-34A5-B9B4-1BD800E8CEC7> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libi18nlangtag.dylib
       0x10c4e5000 -        0x10c4e9fff +libuno_salhelpergcc3.dylib.3 (0) <532C1B13-760E-3E96-9A0E-7F4F085543B5> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libuno_salhelpergcc3.dylib.3
       0x10c4fd000 -        0x10c661fff +libsblo.dylib (0) <A5FC8E97-66F5-3354-A519-C5BDEF532AFE> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libsblo.dylib
       0x10c8f0000 -        0x10ccedfff +libsfxlo.dylib (0) <1B3C37D1-5E21-3B3A-8E3B-FF233B25E368> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libsfxlo.dylib
       0x10d50f000 -        0x10d50fff7 +cl_kernels (???) <D1E541C9-D7BA-4DCA-BFB8-25CBA4255676> cl_kernels
       0x10d512000 -        0x10d602ff7 +libsvllo.dylib (0) <46DD8A1F-FCD5-3DB1-899D-C3D44F1609D9> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libsvllo.dylib
       0x10d7e2000 -        0x10dad8ff7 +libsvtlo.dylib (0) <E1095BD8-74C4-3F64-A97A-58E0A067B878> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libsvtlo.dylib
       0x10e103000 -        0x10e356fff +libtklo.dylib (0) <DB6AED18-FDD3-3234-8A0C-E5FA8BE6D547> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libtklo.dylib
       0x10e942000 -        0x10e9a9ff7 +libtllo.dylib (0) <F4206FB8-1DE1-3575-92A4-B085653F9D79> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libtllo.dylib
       0x10ea38000 -        0x10eaa3fff +libucbhelper.dylib (0) <A14CC625-93B8-3E32-B990-3CAED0C374F8> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libucbhelper.dylib
       0x10ebb1000 -        0x10ec98fff +libutllo.dylib (0) <9751413C-DA17-3E9C-8A8E-5D8233CF7DCD> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libutllo.dylib
       0x10ee85000 -        0x10f3f0fff +libvcllo.dylib (0) <CC9E4066-45BF-3E31-B86C-F80B6413B90E> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libvcllo.dylib
       0x10fb8e000 -        0x10fc17ff7 +libbasegfxlo.dylib (0) <924E09AE-40F2-3C10-AEA8-951683CE7AE5> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libbasegfxlo.dylib
       0x10fcd9000 -        0x10fcf3ff7 +libreglo.dylib (0) <89870105-4454-3F58-8B72-CD4DD75182EE> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libreglo.dylib
       0x10fd1a000 -        0x10fd99fff +libunoidllo.dylib (0) <E30E43A2-24B6-3BBA-84E7-8432AF72CC1D> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libunoidllo.dylib
       0x10feb7000 -        0x10fec3ff7 +libxmlreaderlo.dylib (0) <AD7E617C-EA3E-391A-8698-AE148755E35F> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libxmlreaderlo.dylib
       0x10fede000 -        0x10fef9fff +libstorelo.dylib (0) <3F8A7B61-9E3A-303D-8CA6-B7E077A9615B> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libstorelo.dylib
       0x10ff27000 -        0x11005dfff +libicuuc.dylib.54 (0) <D41EC484-2CAD-320D-9104-2684E865ACCB> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libicuuc.dylib.54
       0x11012d000 -        0x111956fff +libicudata.dylib.54 (0) <9F16C460-BC25-3343-B86A-BE4133AC118F> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libicudata.dylib.54
       0x11197d000 -        0x1119f6ff7 +libxmlscriptlo.dylib (0) <4FD0A393-D419-3F36-8F5E-493C6C654EC7> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libxmlscriptlo.dylib
       0x111acd000 -        0x111ae4ff7 +libsaxlo.dylib (0) <A332F886-62A1-32FB-9416-F6DD14D1F073> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libsaxlo.dylib
       0x111b1e000 -        0x111b72fff +libsotlo.dylib (0) <5ED55FA0-5C8B-3FDB-9491-498F5B32E038> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libsotlo.dylib
       0x111c07000 -        0x111c18fff +libi18nutil.dylib (0) <4DA4E909-7705-3E1A-9D87-041516E5E1F8> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libi18nutil.dylib
       0x111c33000 -        0x111df9ff7 +libicui18n.dylib.54 (0) <50CAD16B-E854-31AA-995D-AE4D37C61161> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libicui18n.dylib.54
       0x111fa3000 -        0x111fe8fff +libcurl.4.dylib (0) <1550930E-81A4-3D0A-AA29-F2F1A6EB5CB0> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libcurl.4.dylib
       0x111ffb000 -        0x112046fff +libnspr4.dylib (0) <7404887B-B75B-3644-8D32-E1F2665BD4C1> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libnspr4.dylib
       0x112070000 -        0x112216ff7 +libnss3.dylib (0) <91F959D4-CDB4-3751-A7FE-871E354295D8> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libnss3.dylib
       0x1122c5000 -        0x1122f9fff +libsmime3.dylib (0) <A05B1D57-DDAB-31D0-9960-6BFDE8515124> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libsmime3.dylib
       0x11231e000 -        0x112323fff +libplc4.dylib (0) <EFF7D321-8DC0-3672-A684-3A3BF70E9FC7> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libplc4.dylib
       0x11232e000 -        0x11238fff7 +libGLEW.1.10.0.dylib (0) <27D4FD39-F942-336F-9FA3-663B0E12AAD4> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libGLEW.1.10.0.dylib
       0x1123c7000 -        0x112411fff +liblcms2.2.dylib (0) <0D66F5BB-E2A3-341F-9624-B46585A0ED56> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/liblcms2.2.dylib
       0x112428000 -        0x112451ff7 +libnssutil3.dylib (0) <684F8CB1-FDC9-3989-8BBB-D6D7F0E4D079> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libnssutil3.dylib
       0x112472000 -        0x112475ff7 +libplds4.dylib (0) <25D0631C-B2A0-37E2-866D-DDD7A608CA09> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libplds4.dylib
       0x11247f000 -        0x112483fff  com.apple.agl (3.3.1 - AGL-3.3.1) <9FC80CE7-56CD-3034-9D03-EF126542657C> /System/Library/Frameworks/AGL.framework/Versions/A/AGL
       0x112492000 -        0x112581fff +libdrawinglayerlo.dylib (0) <BBD5DB7F-50A7-3FC4-A5AE-E659FDBE6420> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libdrawinglayerlo.dylib
       0x112774000 -        0x1127e6ff7 +libfwelo.dylib (0) <B0AB909B-2883-3F2F-BAAD-0472149A2D3B> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libfwelo.dylib
       0x1128fc000 -        0x112932fff +libcanvastoolslo.dylib (0) <972273DE-4E8D-3EFF-8178-3EB900F63E2B> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libcanvastoolslo.dylib
       0x1129c1000 -        0x112a0eff7 +libcppcanvaslo.dylib (0) <35848C6C-46D5-3F41-9579-05058F07097A> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libcppcanvaslo.dylib
       0x112aa7000 -        0x112ad2ff7 +libfwilo.dylib (0) <C8C007E7-5B91-38D6-9E80-00DE00A8D50D> /Applications/LibreOffice Vanilla.app/Contents/Frameworks/libfwilo.dylib
       0x114b11000 -        0x114b2cffb  com.apple.security.csparser (3.0 - 57337.20.44) <2E927C7E-BC87-3EDB-8E60-84D95D6E3B08> /System/Library/Frameworks/Security.framework/PlugIns/csparser.bundle/Contents/MacOS/csparser
       0x115212000 -        0x115227ff3  libCGInterfaces.dylib (317.9) <473434E1-5269-3077-A047-D05E024AE631> /System/Library/Frameworks/Accelerate.framework/Frameworks/vImage.framework/Versions/A/Libraries/libCGInterfaces.dylib
    0x7fff6ac24000 -     0x7fff6ac5afa7  dyld (360.18) <1A7F8274-FC32-3B86-9979-66B8F2B7B5E2> /usr/lib/dyld
    0x7fff86150000 -     0x7fff861c4fff  com.apple.framework.IOKit (2.0.2 - 1179.20.6) <BA27E459-85E8-3393-BEAA-BF67FE74F5F4> /System/Library/Frameworks/IOKit.framework/Versions/A/IOKit
    0x7fff861c5000 -     0x7fff861d0fff  libkxld.dylib (3248.20.55) <3B8A19A8-7B41-3322-BDEC-9A2461E76423> /usr/lib/system/libkxld.dylib
    0x7fff862c1000 -     0x7fff862caff3  libsystem_notify.dylib (150.20.3) <243FADE1-255A-3B78-8033-F336CD64B817> /usr/lib/system/libsystem_notify.dylib
    0x7fff862cb000 -     0x7fff862ccfff  libDiagnosticMessagesClient.dylib (100) <4243B6B4-21E9-355B-9C5A-95A216233B96> /usr/lib/libDiagnosticMessagesClient.dylib
    0x7fff865ab000 -     0x7fff86729fff  com.apple.UIFoundation (1.0 - 436.1) <8C254BB0-1DED-36A2-AAAF-786EB19CCE39> /System/Library/PrivateFrameworks/UIFoundation.framework/Versions/A/UIFoundation
    0x7fff867c3000 -     0x7fff867fdfff  com.apple.QD (3.12 - 302) <3F36A108-C557-353A-A3F7-80DDCB82BB37> /System/Library/Frameworks/ApplicationServices.framework/Versions/A/Frameworks/QD.framework/Versions/A/QD
    0x7fff8681f000 -     0x7fff86828fff  com.apple.icloud.FindMyDevice (1.0 - 1) <BB049D2D-9789-39E8-A09D-D300E7AA94D2> /System/Library/PrivateFrameworks/FindMyDevice.framework/Versions/A/FindMyDevice
    0x7fff86889000 -     0x7fff8699bfef  libvDSP.dylib (563.4) <C069B6A3-D7CD-3B72-918C-15514066A2F3> /System/Library/Frameworks/Accelerate.framework/Versions/A/Frameworks/vecLib.framework/Versions/A/libvDSP.dylib
    0x7fff869c9000 -     0x7fff869f2fff  libsystem_info.dylib (477.20.1) <6513635B-4ADE-3B45-BF63-ED7AC565B0C9> /usr/lib/system/libsystem_info.dylib
    0x7fff869f3000 -     0x7fff86a04ff7  libz.1.dylib (61.20.1) <B3EBB42F-48E3-3287-9F0D-308E04D407AC> /usr/lib/libz.1.dylib
    0x7fff86a05000 -     0x7fff86a29fff  com.apple.MultitouchSupport.framework (304.10 - 304.10) <CE5E8A54-180B-39FD-B57A-97E02B599B69> /System/Library/PrivateFrameworks/MultitouchSupport.framework/Versions/A/MultitouchSupport
    0x7fff86a2a000 -     0x7fff86a2cfff  libCVMSPluginSupport.dylib (12.0.40.6) <8E97A929-0E60-3F6D-ACF7-67F700BE2530> /System/Library/Frameworks/OpenGL.framework/Versions/A/Libraries/libCVMSPluginSupport.dylib
    0x7fff86a6d000 -     0x7fff86a78fff  libcsfde.dylib (517.20.1) <42376761-F1B3-3086-AFBC-231507582BBE> /usr/lib/libcsfde.dylib
    0x7fff86c7a000 -     0x7fff86cd7fff  com.apple.CoreServices.OSServices (728.6 - 728.6) <E86385ED-70AA-3371-8E58-8FFDEF81C854> /System/Library/Frameworks/CoreServices.framework/Versions/A/Frameworks/OSServices.framework/Versions/A/OSServices
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    0x7fff9bb15000 -     0x7fff9bdbbff7  com.apple.CoreData (120 - 641.3) <A29A5491-6169-372B-828F-84EE0CFD4BC4> /System/Library/Frameworks/CoreData.framework/Versions/A/CoreData
    0x7fff9bdbc000 -     0x7fff9bdc5ff7  com.apple.CommonAuth (4.0 - 2.0) <B2CEE6B5-9464-35F2-9339-9F52001C8A27> /System/Library/PrivateFrameworks/CommonAuth.framework/Versions/A/CommonAuth
    0x7fff9bdc6000 -     0x7fff9c05cfff  libmecabra.dylib (696.4) <0A1574F0-3222-3856-A1C6-D8BE20DC4C48> /usr/lib/libmecabra.dylib
    0x7fff9c256000 -     0x7fff9c2c0ff7  com.apple.framework.CoreWLAN (11.0 - 1101.20) <6A535459-6A8A-3D60-986B-EE7ED833A9C3> /System/Library/Frameworks/CoreWLAN.framework/Versions/A/CoreWLAN

External Modification Summary:
  Calls made by other processes targeting this process:
    task_for_pid: 1
    thread_create: 0
    thread_set_state: 0
  Calls made by this process:
    task_for_pid: 0
    thread_create: 0
    thread_set_state: 0
  Calls made by all processes on this machine:
    task_for_pid: 29668
    thread_create: 0
    thread_set_state: 0

VM Region Summary:
ReadOnly portion of Libraries: Total=334.3M resident=0K(0%) swapped_out_or_unallocated=334.3M(100%)
Writable regions: Total=59.5M written=0K(0%) resident=0K(0%) swapped_out=0K(0%) unallocated=59.5M(100%)
 
                                VIRTUAL   REGION 
REGION TYPE                        SIZE    COUNT (non-coalesced) 
===========                     =======  ======= 
Accelerate.framework               128K        2 
Activity Tracing                  2048K        2 
CG backing stores                  336K        3 
CG image                             8K        3 
CG shared images                   208K        6 
CoreUI image data                   80K        2 
CoreUI image file                  192K        4 
Dispatch continuations            4096K        2 
Kernel Alloc Once                    8K        3 
MALLOC                            22.9M       18 
MALLOC guard page                   32K        7 
OpenCL                               8K        2 
Process Corpse Info               2048K        2 
STACK GUARD                       56.0M        9 
Stack                             11.1M        9 
VM_ALLOCATE                        508K       10 
__DATA                            19.4M      267 
__IMAGE                            528K        2 
__LINKEDIT                       149.4M       52 
__TEXT                           184.9M      256 
__UNICODE                          552K        2 
mapped file                       41.2M        9 
shared memory                     16.3M       11 
===========                     =======  ======= 
TOTAL                            511.7M      660 

Model: iMac9,1, BootROM IM91.008D.B08, 2 processors, Intel Core 2 Duo, 2.93 GHz, 4 GB, SMC 1.45f0
Graphics: NVIDIA GeForce GT 120, NVIDIA GeForce GT 120, PCIe, 256 MB
Memory Module: BANK 0/DIMM0, 2 GB, DDR3, 1067 MHz, 0x80AD, 0x484D54313235533641465238432D47372020
Memory Module: BANK 1/DIMM0, 2 GB, DDR3, 1067 MHz, 0x80AD, 0x484D54313235533641465238432D47372020
AirPort: spairport_wireless_card_type_airport_extreme (0x14E4, 0x8E), Broadcom BCM43xx 1.0 (5.106.98.100.24)
Bluetooth: Version 4.4.3f4 16616, 3 services, 19 devices, 1 incoming serial ports
Network Service: Ethernet, Ethernet, en0
Serial ATA Device: WDC WD6400AAKS-40H2B0, 640.14 GB
Serial ATA Device: HL-DT-ST DVDRW  GA11N
USB Device: USB Bus
USB Device: BRCM2046 Hub
USB Device: Bluetooth USB Host Controller
USB Device: USB Bus
USB Device: IR Receiver
USB Device: USB 2.0 Bus
USB Device: Built-in iSight
USB Device: Keyboard Hub
USB Device: USB Receiver
USB Device: Apple Keyboard
USB Device: USB 2.0 Bus
Thunderbolt Bus:

@rogelio : please only post the Apple crash traces as text file (copy /paste to a text editor, then save and upload) attachments to the bug, otherwise it becomes very difficult to follow.

Does your user directory have a space in it ? This shouldn't affect installation, but one never knows, hence the reason I ask, just trying to cover all bases.

You do have a JDK/JVM installed don't you ?

You need (needed) Apple Java for OSX plus the latest Oracle Java, otherwise crashes like these could happen.

Created attachment 121517 [details]
crash report

I installed Java 8 from Oracle and I installed Java for OS X 2015-001 from Apple. LibreOffice still crashes on open and does not create the user profile.  There is no space in my name so the only space in the path is /Users/myname/Library/Application Support/ which is built-in.
Thank you for your help.
I also run Fedora and I am enjoying/using LibreOffice on Fedora. I want to use this on my Mac to transfer some docs to my iPad.

I see, in one of the crash reports you posted, a mention of screen configuration changing.

What resolution are you running OSX on ?

My video display is 1920 x 1200. I have never changed that.  In terms of accessibility: I have cursor magnification ON.  Other accessibility settings are the defaults.
I forgot to mention one thing. I was able to install LibreOffice and use it one or two times before the crashes started. 
Today, 5 January 2016, the app runs and I am able to open docs from my Linux machines. I have no explanation.  Thank you again for helping me.

Per comment 9, this is wfm