Fractional <i>p</i>-Laplacian elliptic Dirichlet problems-Reference-Cited by-同舟云学术

Fractional p-Laplacian elliptic Dirichlet problems

Published:2024-02-20 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Barilla David¹^ORCID,Bohner Martin²^ORCID,Caristi Giuseppe¹^ORCID,Gharehgazlouei Fariba³^ORCID,Heidarkhani Shapour³^ORCID

Affiliation:

1. Department of Economics , University of Messina , via dei Verdi, 75 , Messina , Italy

2. Department of Mathematics and Statistics , Missouri S&T , Rolla , MO 65409 , USA

3. Department of Mathematics , Faculty of Sciences , Razi University , 67149 Kermanshah , Iran

Abstract

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

{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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2008/pdf

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