First of all, when you run from terminal, the command is case sensitive. So run LinAXEpad with capital L.
LinAXEPad is not starting because some dependencies are missing. Here are the libraries needed (found using ldd):
ldd LinAXEpad
linux-gate.so.1 => (0xf777f000)
libgtk-x11-2.0.so.0 => not found
libgdk-x11-2.0.so.0 => not found
libgmodule-2.0.so.0 => not found
libglib-2.0.so.0 => not found
libgthread-2.0.so.0 => not found
libgobject-2.0.so.0 => not found
libgdk_pixbuf-2.0.so.0 => not found
libpango-1.0.so.0 => not found
libpangocairo-1.0.so.0 => not found
libpangoft2-1.0.so.0 => not found
libpthread.so.0 => /lib/i386-linux-gnu/libpthread.so.0 (0xf7740000)
libdl.so.2 => /lib/i386-linux-gnu/libdl.so.2 (0xf773b000)
libXi.so.6 => /usr/lib/i386-linux-gnu/libXi.so.6 (0xf7729000)
libXext.so.6 => /usr/lib/i386-linux-gnu/libXext.so.6 (0xf7716000)
libX11.so.6 => /usr/lib/i386-linux-gnu/libX11.so.6 (0xf75e2000)
libstdc++.so.6 => not found
libm.so.6 => /lib/i386-linux-gnu/libm.so.6 (0xf759c000)
libgcc_s.so.1 => /lib/i386-linux-gnu/libgcc_s.so.1 (0xf757e000)
libc.so.6 => /lib/i386-linux-gnu/libc.so.6 (0xf73ce000)
/lib/ld-linux.so.2 (0xf7780000)
libcairo.so.2 => not found
libxcb.so.1 => /usr/lib/i386-linux-gnu/libxcb.so.1 (0xf73ac000)
libXau.so.6 => /usr/lib/i386-linux-gnu/libXau.so.6 (0xf73a8000)
libXdmcp.so.6 => /usr/lib/i386-linux-gnu/libXdmcp.so.6 (0xf73a0000)
It requires GTK 2. Note that if you have a 64 bit Ubuntu, 32 bit versions of those libraries will be required.
Try to install:
sudo apt-get install libgtk2.0-0:i386 libcairo2:i386 libpango1.0-0:i386 libgdk-pixbuf2.0-0:i386 libstdc++6:i386
sudo apt-get install libstdc++6:i386– Cornelius Sep 16 '14 at 18:49