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

Hamed Alsulami; Mokhtar Kirane; Shabab Alhodily; Tareq Saeed; Nemat Nyamoradi

doi:10.1142/S1664360720500071

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

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

Hamed Alsulami, Mokhtar Kirane, Shabab Alhodily, Tareq Saeed and Nemat Nyamoradi

Bulletin of mathematical sciences, Vol.10(1), pp.2050007-2050007-20

01/04/2020

DOI: https://doi.org/10.1142/S1664360720500071

Abstract

Mathematics

Physical Sciences

Science & Technology

This paper is concerned with a fractional p-Laplacian system with both concave-convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.

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Title: Existence and multiplicity of solutions to fractional p-Laplacian systems with concave-convex nonlinearities
Creators - without role: Hamed Alsulami - King Abdulaziz University
Mokhtar Kirane - University of La Rochelle
Shabab Alhodily - King Abdulaziz University
Tareq Saeed - King Abdulaziz University
Nemat Nyamoradi - Razi University
Publication Details: Bulletin of mathematical sciences, Vol.10(1), pp.2050007-2050007-20
Publisher: World Scientific
Number of pages: 20
Grant note: HIQI-39-2019 / Research and Development Office (RDO) at the Ministry of Education, Kingdom of Saudi Arabia
Identifiers: 9934432308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article