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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
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
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