MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
EXISTENCE AND NON EXISTENCE OF SOLUTIONS FOR A BI-NONLOCAL PROBLEM
F. Jaafri, A. Ayoujil, M. Berrajaa

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.

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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