Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction
Esfahani A.
1 January 2024World Scientific
Analysis and Applications
2024#22Issue 189 - 110 pp.
In this paper, we consider a nonlinear Schrödinger system with fractional derivative and quadratic interaction. Using constrained variational methods, we prove that this problem has a prescribed solution. Our contribution is that we can deal with a case in the supercritical range.
Fractional NLS system , prescribed solution , variational method
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Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Department of Mathematics
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