BOUND STATE SOLUTIONS OF SCHRODINGER-POISSON SYSTEM WITH CRITICAL EXPONENT

被引：16
|
作者：
Zhang, Xu
Ma, Shiwang [1 ]
Xie, Qilin
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Schrodinger-Poisson system; critical exponent; bound state solutions; CONCENTRATION-COMPACTNESS PRINCIPLE; POSITIVE SOLUTIONS; GROUND-STATE; EXISTENCE; EQUATIONS; SPHERES; CALCULUS;
D O I：
10.3934/dcds.2017025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the following Schrodinger-Poisson problem [GRAPHICS] where 2* = 6 is the critical exponent in R-3, K is an element of L-1/2 (R-3) and V is an element of L-3/2 (R-3) are given nonnegative functions. When vertical bar V vertical bar(3/2) +vertical bar K vertical bar(1/2) is suitable small, we prove that problem (P) has at least one bound state solution via a linking theorem.
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页码：605 / 625
页数：21
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