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[Forthcoming] Existence and multiplicity of solutions to a nonlocal elliptic PDE with variable exponent and nonlinear boundary conditions

[Forthcoming] Existence et multiplicité de solutions d’un problème elliptique non-local à exposant variable avec conditions aux limites non-lineaires


H. Ghorbani
Allameh Tabataba’i University
Iran

S.H. Rasouli
Babol Noshirvani University of Technology
Iran



Published on 19 July 2022   DOI :

Abstract

Résumé

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Using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian elliptic systems with Nonlinear boundary conditions.

Using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian elliptic systems with Nonlinear boundary conditions.

Variable exponent Lebesgue-Sobolev spaces p(x)-Laplacian Variational methods Nehari manifold

Variable exponent Lebesgue-Sobolev spaces p(x)-Laplacian Variational methods Nehari manifold