Work

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

Year: 2025

Type: article

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].

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360725500055

Authors: Peng Jin, Heng Yang, Xin’ao Zhou

Institution: Central South University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: China Scholarship Council

Award: G5553412680