Infinitely many solutions for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions

Keywords: Infinitely many solutions, Variable exponent Sobolev spaces, $p(x)$-Laplacian, Nonhomogeneous neumann condition, Variational methods, Critical point theory

Abstract

In this article we will provide new multiplicity results of the solutions for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions. We investigate the existence of infinitely many solutions for perturbed nonlocal problems with variable exponent and nonhomogeneous Neumann conditions. The approach is based on variational methods and critical point theory.

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Author Biographies

Shapour Heidarkhani, Razi University Department of Mathematics
Department of Mathematics, Faculty of Sciences
Anderson Luis Albuquerque de Araujo, Universidade Federal de Viçosa Department of Mathematics
Mathematics Departament
Amjad Salari, Islamic Azad University
Department of Mathematics
Published
2019-03-10
Section
Articles