Normalized solutions for Schrödinger equations with critical Sobolev exponent and perturbations of Choquard terms
In this paper, we consider the following Schrödinger equation with perturbations of Choquard terms: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] is the Riesz potential with order [Formula: see text]. The main results in this paper are the following: (1) existence of ground state solution with negative energy for all [Formula: see text]; (2) existence of mountain-pass solution with positive energy for all [Formula: see text]; (3) existence of ground state solution for [Formula: see text] and some [Formula: see text].
Authors
- Xin Zhou (ORCID: https://orcid.org/0000-0001-8133-259X)
- Peng Jin (ORCID: https://orcid.org/0000-0001-7057-0699)
- Heng Yang
Institutions
- Central South University (CN)
- Hunan Institute of Technology (CN)
Publication Details
- Journal
- Bulletin of Mathematical Sciences
- Published
- 2025-03-14
- DOI
- https://doi.org/10.1142/s1664360725500055
- Citations
- 7
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 25.85