Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 49, pp. 1-22.

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

Authors: Zilin Chen (Jiangnan Univ., Wuxi, Jiangsu, China)
         Yang Yang  (Jiangnan Univ., Wuxi, Jiangsu, China)

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.