Multiplicity result for variable exponents anisotropic elliptic problems

Dofyniwassouani Alain Houede; Abdoul Raouf Pougma; Adama Ouedraogo

doi:10.56947/amcs.v32.738

Authors

Dofyniwassouani Alain Houede Departement de Mathematiques,Laboratoire de Mathematiques, d'Informatique et Applications (LaMIA), Universite Nazi BONI, Burkina Faso
Abdoul Raouf Pougma Departement de Mathematiques,Laboratoire de Mathematiques, d'Informatique et Applications (LaMIA), Universite Nazi BONI, Burkina Faso
Adama Ouedraogo Departement de Mathematiques,Laboratoire de Mathematiques, d'Informatique et Applications (LaMIA), Universite Nazi BONI, Burkina Faso

DOI:

https://doi.org/10.56947/amcs.v32.738

Keywords:

Anisotropic equations, anisotropic Sobolev spaces, variational method, multiple

Abstract

We consider a class of nonlinear elliptic problems governed by an anisotropic differential operator. We prove existence and multiplicity results for nontrivial solutions using suitable variational methods and a variant of the Mountain Pass lemma in anisotropic Sobolev spaces.

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Multiplicity result for variable exponents anisotropic elliptic problems

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