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article · Gulf Journal of Mathematics

Existence of weak solutions for a class of (p(u),q(u))-Laplacian problems

2024Open accessUniversité Sultan Moulay Slimane

Abstract

This paper investigates the existence of weak solutions for (p,q)-Laplacian problems where p and q depend on the unknown solution. We focus on the case where p and q are local quantities. By means of a singular perturbation technique, we prove the existence of weak solutions for certain Dirichlet problem.

Research topics

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

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DOI: 10.56947/gjom.v17i1.2098

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