Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction-Reference-Cited by-同舟云学术

Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction

Published:2023-09-29 Issue:01 Volume:22 Page:89-110
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Esfahani Amin¹^ORCID

Affiliation:

1. Department of Mathematics, Nazarbayev University, Astana 010000, Kazakhstan

Abstract

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.

Funder

Nazarbayev University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530523500185

Reference34 articles.

1. Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials

2. On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole $\mathbb{R}^N$ via Lusternik-Schnirelmann Category

3. Normalized solutions for nonlinear Schrödinger systems

4. Normalized solutions for a system of coupled cubic Schrödinger equations on R3

5. Multiple normalized solutions for a competing system of Schrödinger equations

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