Thanks for your reply.
I saw indeed that even amuled, amulecmd and amulewebserver were linked against libwx_baseu_net and libwx_baseu.
Another solution is to compile on another machine which has wxGTK, to link statically against it and then to install the resulting binaries on the target machine.
To build sttic versions of amuled, amuleweb and amulecmd you need to have the static versions of wxGTK too. In order to have both static and dynamic versions of wxGTK you need to execute the sequence ./configure && make && make install twice. Once with --enable-shared and once with --disable-shared.
Dont forget to strip these static binaries or else they will be huge (53M for amuled for example).