Library error while opening firefox

I have Solaris-10 zone, where I can open firefox in GUI via MobaXterm with root user, but when I try to open it with non root user, it fails with below error

$ which firefox
/usr/bin/firefox
$ firefox
ld.so.1: firefox-bin: fatal: relocation error: file /usr/lib/firefox/components/libdocshell.so: symbol PR_GetPhysicalMemorySize: referenced symbol not found
Killed
$ ls -l /lib/sparcv9/ld.so.1 /lib/ld.so.1 /usr/lib/ld.so.1 /usr/lib/sparcv9/ld.so.1 /etc/lib/ld.so.1
lrwxrwxrwx   1 root     root          17 Mar  1  2013 /etc/lib/ld.so.1 -> ../../lib/ld.so.1
-rwxr-xr-x   1 root     bin       281248 Jun 14  2011 /lib/ld.so.1
-rwxr-xr-x   1 root     bin       301600 Jun 14  2011 /lib/sparcv9/ld.so.1
lrwxrwxrwx   1 root     root          17 Feb  7  2009 /usr/lib/ld.so.1 -> ../../lib/ld.so.1
lrwxrwxrwx   1 root     root          28 Feb  7  2009 /usr/lib/sparcv9/ld.so.1 -> ../../../lib/sparcv9/ld.so.1
$

Can somebody point me, what can be its fix ?

From your current environment run the shell command

ldd /usr/lib/firefox/components/libdocshell.so

and compare with

env -i ldd /usr/lib/firefox/components/libdocshell.so

Is there a difference?

There is no difference, when I do it from root. But there are differences with no root user. here is from non-root user

$ ldd /usr/lib/firefox/components/libdocshell.so
        libCrun.so.1 =>  /usr/lib/libCrun.so.1
        libCstd.so.1 =>  /usr/lib/libCstd.so.1
        libmozjs.so =>   /usr/lib/firefox/components/../libmozjs.so
        libxpcom_core.so =>      /usr/lib/firefox/components/../libxpcom_core.so
        libplc4.so =>    /t3/apps/documentum2/product/6.6/bin/libplc4.so
        libplc4.so (NSPR_4.0) =>         (version not found)
        libnspr4.so =>   /t3/apps/documentum2/product/6.6/bin/libnspr4.so
        libnspr4.so (NSPR_4.6) =>        (version not found)
        libm.so.2 =>     /lib/libm.so.2
        libgobject-2.0.so.0 =>   /usr/lib/libgobject-2.0.so.0
        libglib-2.0.so.0 =>      /usr/lib/libglib-2.0.so.0
        libc.so.1 =>     /lib/libc.so.1
        libnspr4.so (NSPR_4.0) =>        (version not found)
        libplds4.so =>   /t3/apps/documentum2/product/6.6/bin/libplds4.so
        libplds4.so (NSPR_4.0) =>        (version not found)
        libplc4.so (NSPR_4.0) =>         (version not found)
        libnspr4.so (NSPR_4.1) =>        (version not found)
        libpthread.so.1 =>       /usr/lib/firefox/../libpthread.so.1
        libdl.so.1 =>    /usr/lib/firefox/../libdl.so.1
        libthread.so.1 =>        /lib/libthread.so.1
        libposix4.so.1 =>        /lib/libposix4.so.1
        libsocket.so.1 =>        /lib/libsocket.so.1
        libnsl.so.1 =>   /lib/libnsl.so.1
        libaio.so.1 =>   /lib/libaio.so.1
        libmd.so.1 =>    /lib/libmd.so.1
        libmp.so.2 =>    /lib/libmp.so.2
        libscf.so.1 =>   /lib/libscf.so.1
        libdoor.so.1 =>  /lib/libdoor.so.1
        libuutil.so.1 =>         /lib/libuutil.so.1
        libgen.so.1 =>   /lib/libgen.so.1
        /usr/lib/cpu/sparcv8plus/libCstd_isa.so.1
        /platform/SUNW,Netra-T12/lib/libc_psr.so.1
        /platform/SUNW,Netra-T12/lib/libmd_psr.so.1
$ env -i ldd /usr/lib/firefox/components/libdocshell.so
        libCrun.so.1 =>  /usr/lib/libCrun.so.1
        libCstd.so.1 =>  /usr/lib/libCstd.so.1
        libmozjs.so =>   /usr/lib/firefox/components/../libmozjs.so
        libxpcom_core.so =>      /usr/lib/firefox/components/../libxpcom_core.so
        libplc4.so =>    /usr/lib/mps/libplc4.so
        libnspr4.so =>   /usr/lib/mps/libnspr4.so
        libm.so.2 =>     /lib/libm.so.2
        libgobject-2.0.so.0 =>   /usr/lib/libgobject-2.0.so.0
        libglib-2.0.so.0 =>      /usr/lib/libglib-2.0.so.0
        libc.so.1 =>     /lib/libc.so.1
        libplds4.so =>   /usr/lib/mps/libplds4.so
        libpthread.so.1 =>       /usr/lib/firefox/../libpthread.so.1
        libdl.so.1 =>    /usr/lib/firefox/../libdl.so.1
        librt.so.1 =>    /lib/librt.so.1
        libsocket.so.1 =>        /lib/libsocket.so.1
        libnsl.so.1 =>   /lib/libnsl.so.1
        libaio.so.1 =>   /lib/libaio.so.1
        libmd.so.1 =>    /lib/libmd.so.1
        libmp.so.2 =>    /lib/libmp.so.2
        libscf.so.1 =>   /lib/libscf.so.1
        libdoor.so.1 =>  /lib/libdoor.so.1
        libuutil.so.1 =>         /lib/libuutil.so.1
        libgen.so.1 =>   /lib/libgen.so.1
        /usr/lib/cpu/sparcv8plus/libCstd_isa.so.1
        /usr/lib/mps/cpu/sparcv8plus/libnspr_flt4.so
        /platform/SUNW,Netra-T12/lib/libc_psr.so.1
        /platform/SUNW,Netra-T12/lib/libmd_psr.so.1
$
$ ldd /usr/lib/firefox/components/libdocshell.so >> /tmp/121212
$ env -i ldd /usr/lib/firefox/components/libdocshell.so >> /tmp/454545
$ diff /tmp/121212 /tmp/454545
5,8c5,6
<       libplc4.so =>    /t3/apps/documentum2/product/6.6/bin/libplc4.so
<       libplc4.so (NSPR_4.0) =>         (version not found)
<       libnspr4.so =>   /t3/apps/documentum2/product/6.6/bin/libnspr4.so
<       libnspr4.so (NSPR_4.6) =>        (version not found)
---
>       libplc4.so =>    /usr/lib/mps/libplc4.so
>       libnspr4.so =>   /usr/lib/mps/libnspr4.so
13,17c11
<       libnspr4.so (NSPR_4.0) =>        (version not found)
<       libplds4.so =>   /t3/apps/documentum2/product/6.6/bin/libplds4.so
<       libplds4.so (NSPR_4.0) =>        (version not found)
<       libplc4.so (NSPR_4.0) =>         (version not found)
<       libnspr4.so (NSPR_4.1) =>        (version not found)
---
>       libplds4.so =>   /usr/lib/mps/libplds4.so
20,21c14
<       libthread.so.1 =>        /lib/libthread.so.1
<       libposix4.so.1 =>        /lib/libposix4.so.1
---
>       librt.so.1 =>    /lib/librt.so.1
31a25
>       /usr/lib/mps/cpu/sparcv8plus/libnspr_flt4.so
$

You have an incompatible component /t3/apps/documentum2/product/6.6/bin/libplds4.so in your environment variable LD_LIBRARY_PATH.
Verify with

echo $LD_LIBRARY_PATH

Try

unset LD_LIBRARY_PATH
firefox

Yes, I can open firefox after unsetting it.

/t3/apps/documentum$ firefox
ld.so.1: firefox-bin: fatal: relocation error: file /usr/lib/firefox/components/libdocshell.so: symbol PR_GetPhysicalMemorySize: referenced symbol not found
Killed
/t3/apps/documentum$ echo $LD_LIBRARY_PATH
/usr/lib:/t3/apps/wl/8.1.6/jdk142_11/lib:/t3/apps/documentum/product/5.3/bin:/t3/apps/documentum/fulltext/verity271/_ssol26/bin:/t3/oracle/product/9.2.0/lib:/t3/data/documentum/share/dfc:/t3/apps/wl/8.1.6/jdk142_11/jre/lib:/t3/apps/wl/8.1.6/jdk142_11/jre/lib/sparc/client
/t3/apps/documentum$ unset LD_LIBRARY_PATH
/t3/apps/documentum$ echo $LD_LIBRARY_PATH
/t3/apps/documentum$ firefox

But these env variables are needed for their application. Do we know, what can be done to fix this ?

Fix your application more close to the application - so it does not impact other applications.
Maybe your /path/to/application is a start script?
Then insert at the beginning

export LD_LIBRARY_PATH; LD_LIBRARY_PATH=...

or just unset it specifically for firefox:

LD_LIBRARY_PATH= firefox