On a class of fractional \(p(\cdot,\cdot)-\)Laplacian problems with sub-supercritical nonlinearities

Abdelilah Azghay; Mohammed Massar

doi:10.56754/0719-0646.2503.387

DOI:

https://doi.org/10.56754/0719-0646.2503.387

Abstract

This paper is devoted to study a class of nonlocal variable exponent problems involving fractional \(p(\cdot,\cdot)\)-Laplacian operator. Under appropriate conditions, some new results on the existence and nonexistence of solutions are established via variational approach and Pohozaev's fibering method.

Keywords

Fractional p(·, ·)-Laplacian operator , sub-supercritical nonlinearities , variational methods , Pohozaev’s fibering method

Mathematics Subject Classification:

35R11 , 35J60 , 35J35 , 35S15

Abdelilah Azghay ANLA, FSTH, Abdelmalek Essaadi University, Tetouan, Morocco. https://orcid.org/0000-0003-1300-8805
Mohammed Massar ANLA, FSTH, Abdelmalek Essaadi University, Tetouan, Morocco. https://orcid.org/0000-0002-7017-3500

Pages: 387–410
Date Published: 2023-12-21
Vol. 25 No. 3 (2023)

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