Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities-Reference-Cited by-同舟云学术

Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities

Published:2020-03-30 Issue:01 Volume:10 Page:2050007
ISSN:1664-3607
Container-title:Bulletin of Mathematical Sciences
language:en
Short-container-title:Bull. Math. Sci.

Author:

Alsulami Hamed¹,Kirane Mokhtar¹²^ORCID,Alhodily Shabab¹,Saeed Tareq¹,Nyamoradi Nemat³

Affiliation:

1. NAAM Research Group, Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

2. LaSIE, Pôle Sciences et Technologies, Université de La Rochelle, Avenue Michel Crépeau, La Rochelle 17031, France

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

Abstract

This paper is concerned with a fractional [Formula: see text]-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.

Funder

Ministry of Education, Kingdom of Saudi Arabi

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1664360720500071

Reference18 articles.

1. Concentration phenomena for critical fractional Schrödinger systems

2. On the multiplicity and concentration for p-fractional Schrödinger equations

3. Optimal decay of extremals for the fractional Sobolev inequality

4. A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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