Electron. J. Differential Equations, Vol. 2025 (2025), No. 49, pp. 1-22.

Normalized solutions for fractional Schrodinger-Choquard systems with Sobolev critical coupled nonlinearity

Zilin Chen, Yang Yang

Abstract:
We study the existence of normalized solutions for a system of fractional Schrodinger-Choquard with Sobolev critical coupling term. We obtain the existence of the positive normalized ground state solution, and in a special case we obtain a mountain pass type normalized solution.

Submitted March 11, 2025. Published May 13, 2025.
Math Subject Classifications: 35A15, 35J50, 35R11, 35B33.
Key Words: Fractional Schrodinger-Choquard system; normalized solutions; critical exponent; Pohozaev manifold.
DOI: 10.58997/ejde.2025.49

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Zilin Chen
School of Science
Jiangnan University
Wuxi, Jiangsu 214122, China
email: 6231204001@stu.jiangnan.edu.cn
Yang Yang
School of Science
Jiangnan University
Wuxi, Jiangsu 214122, China
email: yangyangli@jiangnan.edu.cn

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