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http://dx.doi.org/10.4134/CKMS.c170456

EXISTENCE OF INFINITELY MANY SOLUTIONS FOR A CLASS OF NONLOCAL PROBLEMS WITH DIRICHLET BOUNDARY CONDITION  

Chaharlang, Moloud Makvand (Department of Pure Mathematics Faculty of Science Imam Khomeini International University)
Razani, Abdolrahman (Department of Pure Mathematics Faculty of Science Imam Khomeini International University)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.1, 2019 , pp. 155-167 More about this Journal
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;
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