Existence of infinitely many solutions for an anisotropic equation using genus theory

Using genus theory, the existence of infinitely many solutions for an anisotropic equation involving the subcritical growth is proved. Also, by using Krasnoselskii genus and Clark's theorem, the existence of k-pairs of distinct solutions is proved. Finally, the existence of infinitely many solutions for an anisotropic equation involving the critical growth is studied.

Automated summary

Using genus theory, this paper proves the existence of infinitely many solutions for an anisotropic equation involving subcritical growth, as well as the existence of k-pairs of distinct solutions using Krasnoselskii genus and Clark's theorem. Furthermore, the existence of infinitely many solutions for an anisotropic equation involving critical growth is studied.