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Fractional p-Laplacian elliptic Dirichlet problems

  • David Barilla ORCID logo , Martin Bohner ORCID logo EMAIL logo , Giuseppe Caristi ORCID logo , Fariba Gharehgazlouei ORCID logo and Shapour Heidarkhani ORCID logo

Abstract

In this paper, we consider a fractional p-Laplacian elliptic Dirichlet problem that possesses one control parameter and has a Lipschitz nonlinearity order of p - 1 . The multiplicity of the weak solutions is proved by means of the variational method and critical point theory. We investigate the existence of at least three solutions to the problem.

MSC 2020: 35R11; 35A15; 35B38

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Received: 2023-10-18
Revised: 2023-11-10
Accepted: 2023-11-24
Published Online: 2024-02-20

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