Existence and concentration of solutions for a fractional Schrodinger-Poisson system with discontinuous nonlinearity

被引：0

作者：

Mu, Changyang ^{[1
]}

Yang, Zhipeng ^{[1
]}

Zhang, Wei ^{[2
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650500, Peoples R China

[2] Yunnan Univ Finance & Econ, Sch Stat & Math, Kunming 650221, Peoples R China

来源：

ADVANCED NONLINEAR STUDIES | 2024年

基金：

中国国家自然科学基金;

关键词：

fractional Schrodinger-Poisson system; discontinuous nonlinearity; nonsmooth analysis; BOUND-STATES; EQUATION;

D O I：

10.1515/ans-2023-0147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following fractional Schrodinger-Poisson system with discontinuous non-linearity: {epsilon(2s)(-Delta)su+V(x)u+phi u=H(u-beta)f(u),in R-3, epsilon(2s)(-Delta)(s)phi=u(2), in R-3, u>0,inR(3), where epsilon>0 is a small parameter,s is an element of(3/4,1),beta>0,His the Heaviside function, (-Delta)(s)u is the fractional Lapla-cian operator,V:R-3 -> R is a continuous potential andf:R -> Ris superlinear continuous nonlinearity with subcritical growth at infinity. By using non smooth analysis, we investigate the existence and concentration of solutions for the above problem. Moreover, we obtain some properties of these solutions, such as convergence and decay estimate

引用

页码：992 / 1011

页数：20

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