LEAST ENERGY SIGN-CHANGING SOLUTIONS FOR SCHROumlDINGER-POISSON SYSTEM WITH CRITICAL GROWTH

被引：15

作者：

Chen, Xiaoping ^{[1
]}

Tang, Chunlei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 06期

基金：

中国国家自然科学基金;

关键词：

sign-changing solutions; critical growth; least energy; variational methods; Schroddinger-Poisson system; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; SOLITARY WAVES; EXISTENCE; SOBOLEV;

D O I：

10.3934/cpaa.2021077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and asymptotic behavior of least energy sign-changing solutions for the following Schrodinger-Poisson system { -Delta u + V (x)u + lambda phi(x)u = |u|(4)u + f(u), x is an element of R-3, -Delta phi = u2, x is an element of R-3, where lambda > 0 is a parameter. Under some suitable conditions on f and V, we get a least energy sign-changing solution uA, via variational method and its energy is strictly larger than twice that of least energy solutions. Moreover, the asymptotic behavior of uA, as lambda -> 0+ is also analyzed.

引用

页码：2291 / 2312

页数：22

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