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].

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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
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article

Normalized solutions for Schrödinger equations with critical Sobolev exponent and perturbations of Choquard terms

Xin Zhou, Peng Jin, Heng Yang
7 citations
Bulletin of Mathematical Sciences
Spectral Theory in Mathematical Physics
25.85
article

Normalized solutions for Schrödinger equations with critical Sobolev exponent and perturbations of Choquard terms

Xin Zhou, Peng Jin, Heng Yang
article en
7 citations

Abstract

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].

Bulletin of Mathematical SciencesVol. 15(02)
Central South University (CN), Hunan Institute of Technology (CN)
Climate action
Openalex Percentile: Top 0%
Spectral Theory in Mathematical Physics
25.85
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