期刊论文

Wang, CH

英文

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE

0391-173X

2023

24

2

879-925

10.2422/2036-2145.202010_019

Guo was supported by NSFC grants (No. 11771469). Luo and Wang were supported by the Fundamental Research Funds for the Central Universities (No. KJ02072020-0319). Luo was supported by the China Scholarship Council and NSFC grants (No. 12171183, No. 11831009). Wang was supported by NSFC grants (No. 12071169). Yang was supported by NSFC grants (No. 12226324). Received August 3, 2020; accepted in revised form December 24, 2021. Published online June 2023.

本校为通讯机构

In this paper we investigate the existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system under the assumption that the trapping potential is degenerate and has nonisolated critical points. First we investigate the existence and local uniqueness of normalized single-peak solutions for the Schrödinger-Newton system. Precisely, we give an exact description of the chemical potential and the attractive interaction. Then we apply the finite-dimensional reduction method to obtain the existence of single-peak solut...