Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2019; 34(1): 155-167

Online first article January 9, 2019      Printed January 31, 2019

https://doi.org/10.4134/CKMS.c170456

Copyright © The Korean Mathematical Society.

Existence of infinitely many solutions for a class of nonlocal problems with Dirichlet boundary condition

Moloud Makvand Chaharlang, Abdolrahman Razani

Imam Khomeini International University; Imam Khomeini International University

Abstract

In this article we are concerned with some non-local problems of Kirchhoff type with Dirichlet boundary condition in Orlicz-Sobolev spaces. A result of the existence of infinitely many solutions is established using variational methods and Ricceri's critical points principle modified by Bonanno.

Keywords: nonlocal problems, Kirchhoff-type problems, variational methods, Orlicz-Sobolev spaces

MSC numbers: 35J60, 35J50, 34B10