Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces

Boundary value problems

A. Razani¹  S. Heidari¹ 

[1] Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, Iran;

关键词: Orlicz–Sobolev spaces;    Kirchhoff-type problems;    Variational methods;    Infinitely many solutions;    35J35;    35D30;    35J92;    34B16;   

DOI  :  10.1186/s13661-021-01496-8

来源: Springer

【 摘 要 】

In this paper, we study some results on the existence and multiplicity of solutions for a class of nonlocal quasilinear elliptic systems. In fact, we prove the existence of precise intervals of positive parameters such that the problem admits multiple solutions. Our approach is based on variational methods.

【 授权许可】

CC BY