ARTICLE
Multiplicity result for variable exponents anisotropic elliptic problems
- Annals of Mathematics and Computer Science , 32 : 1-12
Lien de l'article :
https://doi.org/10.56947/amcs.v32.738
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Dofyniwassouani Alain Houede, Abdoul Raouf Pougma, Adama Ouédraogo
Auteur(s) tagués :
HOUEDE Dofyniwassouani Alain
Renseignée par : HOUEDE Dofyniwassouani Alain
Résumé
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.
Mots-clés
anisotropic elliptic problems, variable exponent, multiplicity of solutions, nontrivial solutions, anisotropic Sobolev spaces, mountain pass lemma, nonlinear elliptic equations, existence of solutions