Positive Solutions for Schrödinger-Poisson Systems with Sign-Changing Potential and Critical Growth-Reference-Cited by-同舟云学术

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Positive Solutions for Schrödinger-Poisson Systems with Sign-Changing Potential and Critical Growth

Published:2020-07-02 Issue: Volume:2020 Page:1-7
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

He Pengfei¹²^ORCID,Suo Hongmin³^ORCID

Affiliation:

1. School of Mathematics Science, Guizhou Normal University, Guiyang 550025, China

2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

3. School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China

Abstract

In this paper, we study the existence of positive solutions for Schrödinger-Poisson systems with sign-changing potential and critical growth. By using the analytic techniques and variational method, the existence and multiplicity of positive solutions are obtained.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/3197596.pdf

Reference28 articles.

1. Positive solutions of an asymptotically periodic Schrödinger–Poisson system with critical exponent

2. Ground state solutions for some Schrödinger–Poisson systems with periodic potentials

3. Ground state and multiple solutions for Schrödinger–Poisson equations with critical nonlinearity

4. Existence and nonexistence of positive solutions for a static Schrödinger–Poisson–Slater equation

5. Infinitely many high energy radial solutions for a class of nonlinear Schrödinger–Poisson systems in R3

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