Constraint minimizers for Choquard equations with different potentials
Abstract
This paper is devoted to the normalized solutions of the Choquard equations and the magnetic Choquard equations involving different external potentials. Under the L^{2} -norm constraint, we apply the variational method and the Gagliardo–Nirenberg-type inequality with the Riesz potential to prove the existence of constraint minimizers of the energy functionals. Particularly, we obtain the compactness of minimizing sequences by establishing the relationship between minimal energies with respect to different mass. We extend and improve the research by Alves and Ji [J. Geom. Anal. 32 (2022), no. 5, article no. 165].
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Zeitschrift für Analysis und ihre Anwendungen
- Volume
- 45
- Issue
- 1
- Pages
- 61–82
- Publication date
- 3 February 2026