DOI: 10.1515/dema-2025-0310 ISSN: 2391-4661

Existence and multiplicity of solutions for a class of new nonlocal problem with indefinite potential

Changmu Chu, Feng Luo, Yanting Ming

Abstract

This paper is devoted to study a class of new nonlocal problem with indefinite potential. Using linking theorem and symmetric mountain pass theorem, the existence and multiplicity of solutions to this problem are obtained. Moreover, we also investigated the asymptotic behavior of the solutions when the parameters of the nonlocal terms tend to zero.

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