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article · Boletim da Sociedade Paranaense de Matemática

Multiplicity of solutions for anisotropic Dirichlet problem with variable exponent

2024Open accessMohamed I University

Abstract

We establish some results on the existence of multiple nontrivial solutions for a general anisotropic elliptic equations. Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces,combined with adequate variational methods and a variant of the Mountain Pass lemma.

Research topics

  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Nonlinear Differential Equations Analysis

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DOI: 10.5269/bspm.67778

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