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article · Boletim da Sociedade Paranaense de Matemática

Nontrivial solutions for a general p(x)-Laplacian Robin problem

2024Open accessMohamed I University

Abstract

We establish the existence of multiple nontrivial solutions for a class of $p(x)$-Laplacian Robin problem. Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces, combined withadequate variational methods and a variant of the Mountain Pass lemma.

Research topics

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Spectral Theory in Mathematical Physics

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DOI: 10.5269/bspm.62755

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