Multiplicity result for anisotropic Dirichlet problems involving $\overrightarrow{p}(x)-$Laplacian operator

Articles in Press

Document Type : Research Paper

Authors
Dofyniwassouani Alain HOUEDE 1
Abdoul Raouf POUGMA 2
Adama OUEDRAOGO 3
1 Département de Mathématiques, Unité de Formation en Science Exactes et Appliquées, Bobo-Dioulasso, Burkina Faso
2 Laboratoire de Mathématique d'Informatique et Applications, Université Nazi BONI, Bobo-Dioulasso, Burkina Fasso
3 Département de Mathématiques, Unité de Formation en Sciences Exactes et Appliquées, Bobo-Dioulasso, Burkina-Faso
10.22075/ijnaa.2025.38600.5516
Abstract
We give existence and multiplicity results of nontrivial solutions for a class of Dirichlet problems involving the $\overrightarrow{p}(x)-$Laplacian operator. The proof is based on the use of adequate variational methods and a variant of the Mountain Pass lemma.
Keywords
Anisotropic equations
anisotropic Sobolev spaces
variational method
multiple solutions
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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 11 August 2026

  • Receive Date 09 August 2025
  • Revise Date 24 November 2025
  • Accept Date 25 November 2025