Positive Solutions and Infinitely Many Solutions for a Weakly Coupled System

被引：3
|
作者：
Duan, Xueliang [1 ]
Wei, Gongming [2 ]
Yang, Haitao [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 05期
关键词：
coupled Schrodinger system; ground state solution; infinitely many solutions; concentration compactness principle; SCHRODINGER SYSTEMS; SOLITARY WAVES; GROUND-STATES; EQUATIONS;
D O I：
10.1007/s10473-020-0523-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a Schrodinger system with the sum of linear and nonlinear couplings. Applying index theory, we obtain infinitely many solutions for the system with periodic potentials. Moreover, by using the concentration compactness method, we prove the existence and nonexistence of ground state solutions for the system with close-to-periodic potentials.
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页码：1585 / 1601
页数：17
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