Ground states for Chern-Simons-Schrodinger system with nonperiodic potential

被引：1
|
作者：
Kang, Jin-Cai [1 ]
Tang, Chun-Lei [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Chern-Simons-Schrodinger system; ground state solution; splitting lemma; variational method; NONTRIVIAL SOLUTIONS; STANDING WAVES; EXISTENCE; EQUATION;
D O I：
10.1007/s11784-022-01043-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main aim in the present paper is to investigate the generalized Chern-Simons-Schrodinger system in H-1(R-2){ -delta u + V (x)u + A(0)u + sigma(2 )(j=1)A(j)(2)u = |u|(p-2)u,& part;(1)A(2 )- & part;(2)A(1 )= -1/2u(2), & part;(1)A(1 )+ & part;(2)A(2) = 0,delta A(0) = & part;(1)(A(2)|u|(2)) - & part;(2)(A(1)|u|(2)),where p is an element of (6, +infinity). Here, V is an element of C(R-2, R), V(x) = V-1(x) for x(1) > 0 and V(x) = V-2(x) for x(1) < 0, where V-1, V-2 are periodic in each coordinate direction. By giving a splitting lemma, we obtain the existence of ground state solutions for the above problem.
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页数：17
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