Affiliation:
1. School of Sciences Hangzhou Dianzi University Hangzhou China
2. Department of Mathematical Sciences Tsinghua University Beijing China
Abstract
AbstractWe study the following critical Schrödinger system in :
where , , , and . Any solving such system (for some ) is called the normalized solution in the literature, where the normalization is settled in . We show that this system has a positive ground state for in the case of . For the case of and , we obtain the non‐existence results.
Funder
National Natural Science Foundation of China