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Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities
Journal article   Peer reviewed

Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities

Kamel Saoudi, Debajyoti Choudhuri, Mouna Kratou and Basic and Applied Scientific Research Center, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, 31441, Dammam, Saudi Arabia
Journal of mathematical physics, analysis, geometry, Vol.18(4), pp.514-545
25/09/2022
DOI: https://doi.org/10.15407/mag18.04.514

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
In this paper, we study the existence of multiple nontrivial nonnegative weak solutions to a coupled system of elliptic PDEs. The existence of solu-tions in the Nehari manifold is proved. The Lusternik-Schnirelman category is used to prove the existence of at least cat(O)+1 number of solutions, where O is a bounded domain in which the problem is considered.

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