Existence of infinitely many solutions for an anisotropic equation using genus theory
A. Razani, Giovany M. Figueiredo
Abstract
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 ‐pairs of distinct solutions is proved. Finally, the existence of infinitely many solutions for an anisotropic equation involving the critical growth is studied.
Topics & Concepts
MathematicsGenusAnisotropyMathematical analysisPure mathematicsBotanyPhysicsQuantum mechanicsBiologyNonlinear Partial Differential EquationsNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in Engineering