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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 4 (September 2022)   > Article

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

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

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H. Ghorbani
Allameh Tabataba’i University
Iran

S.H. Rasouli
Babol Noshirvani University of Technology
Iran



Published on 21 October 2022   DOI : 10.21494/ISTE.OP.2022.0885

Abstract

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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



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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 4 (September 2022)   > Article