Title of article
Existence of multiple solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator
Author/Authors
Boutebba ، Hamza Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), Department of Mathematics - University of 20 August 1955 , Lakhal ، Hakim Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), Department of Mathematics - University of 20 August 1955 , Slimani ، Kamel Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), Department of Mathematics - University of 20 August 1955
From page
83
To page
92
Abstract
In this paper, we prove the existence of multiple solutions in the Bessel Potential space for a new class of nonlinear fractional Schrödinger-Poisson systems involving the distributional Riesz fractional derivative. To reach our goal, we use the symmetric mountain pass theorem under some suitable assumptions on nonlinearity f(x,u) and potential V(x).
Keywords
Fractional Schrödinger , Poisson system , symmetric mountain pass theorem , Palais , Smale condition , distributional Riesz fractional derivative , Bessel potential space
Journal title
International Journal of Nonlinear Analysis and Applications
Journal title
International Journal of Nonlinear Analysis and Applications
Record number
2773891
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