Sign-changing solutions for the Schrodinger-Poisson system with concave-convex nonlinearities in R3

被引：1

作者：

Yang, Chen ^{[1
]}

Tang, Chun-Lei ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN ANALYSIS AND MECHANICS | 2023年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Schrodinger-Poisson system; sign-changing solutions; concave-convex nonlinearities; variational method; POSITIVE SOLUTIONS; GROUND-STATE; ELLIPTIC-EQUATIONS; NODAL SOLUTIONS; EXISTENCE; MULTIPLICITY; MAXWELL;

D O I：

10.3934/cam.2023032

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 Schr & ouml;dinger-Poisson system { - triangle u + V(x)u + phi u = |u|(p-2)u + lambda K(x)|u|(q-2)u in R-3, - triangle phi = u(2 )in R-3.Under the weakly coercive assumption on V and an appropriate condition on K, we investigate the cases when the nonlinearities are of concave-convex type, that is, 1 < q < 2 and 4 < p < 6. By constructing a nonempty closed subset of the sign-changing Nehari manifold, we establish the existence of least energy sign-changing solutions provided that lambda is an element of (-infinity, lambda(& lowast;)), where lambda(& lowast;) > 0 is a constant.

引用

页码：638 / 657

页数：20

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