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.

引用

页码：605 / 625

页数：21

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