Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities-Reference-Cited by-同舟云学术

Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities

Published:2023-01-01 Issue:1 Volume:12 Page:
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Fareh Soraya¹^ORCID,Akrout Kamel¹^ORCID,Ghanmi Abdeljabbar²^ORCID,Repovš Dušan D.³⁴⁵^ORCID

Affiliation:

1. LAMIS Laboratory, Echadid Cheikh Larbi Tebessi University , 12002 Tebessa , Algeria

2. LR10ES09 Modélisation matématique, analyse harmonique et téorie du potentiel, Faculté des Sciences, Université de Tunis El Manar , 2092 Tunis , Tunisie

3. Department of Mathematics and Computer Science, Faculty of Education, University of Ljubljana , 1000 Ljubljana , Slovenia

4. Department of Mathematics, Faculty of Mathematics and Physics, University of Ljubljana , 1000 Ljubljana , Slovenia

5. Department of Mathematics, Institute of Mathematics, Physics and Mechanics , 1000 Ljubljana , Slovenia

Abstract

Abstract In this article, we study certain critical Schrödinger-Kirchhoff-type systems involving the fractional

-Laplace operator on a bounded domain. More precisely, using the properties of the associated functional energy on the Nehari manifold sets and exploiting the analysis of the fibering map, we establish the multiplicity of solutions for such systems.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2022-0318/pdf

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