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article · Boletim da Sociedade Paranaense de Matemática

Existence and multiplicity of solutions for a Steklov eigenvalue problem involving the p(x)-Laplacian-like operator

2024Open accessMohamed I University

Abstract

Using the variational method, we prove theexistence and multiplicity of solutions for a Steklov problem involving the $p(x)$-Laplacian-like operator, originated from a capillary phenomena. Especially, an existence criterion for infinite many pairs of solutions for the problem is obtained.

Research topics

  • Differential Equations and Numerical Methods
  • Nonlinear Partial Differential Equations
  • Spectral Theory in Mathematical Physics

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DOI: 10.5269/bspm.62772

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