Abstract

The aim of this paper is to investigate the existence and non-existence of non-trivial weak solutions to a bi-nonlocal problem under sufficient conditions by using the variational arguments.

Keywords: Bi-nonlocal elliptic problem; p(x)-Laplacian operator; variational method; Fountain theorem; Krasnoselskii's genus; (PS)-condition.

MSC: 35J60, 35J70, 58E05

DOI: 10.57016/MV-HJSKN13j

Pages:  233--244     

Volume  76 ,  Issue  4 ,  2024