Existence of infinitely many solutions for an anisotropic equation using
genus theory
Abstract
Using genus theory, the existence of infinitely many solutions for an
anisotropic equation involves 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 anisotropic
equation involves critical growth is considered and the existence of
infinitely many solutions is proved.
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