Fractional P-Laplacian Elliptic Dirichlet Problems

Author

David Barilla
Martin Bohner, Missouri University of Science and TechnologyFollow
Giuseppe Caristi
Fariba Gharehgazlouei
Shapour Heidarkhani

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.

Recommended Citation

D. Barilla et al., "Fractional P-Laplacian Elliptic Dirichlet Problems," Georgian Mathematical Journal, De Gruyter, Jan 2024.

The definitive version is available at https://doi.org/10.1515/gmj-2024-2008

Department(s)

Mathematics and Statistics

Keywords and Phrases

critical points; variational method

International Standard Serial Number (ISSN)

1572-9176; 1072-947X

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2024 De Gruyter, All rights reserved.

Publication Date

01 Jan 2024