Positive solutions for Schrödinger-Poisson systems with sign-changing potential and critical growth
type: Item
instance of: scholarly article
title: Positive solutions for Schrödinger-Poisson systems with sign-changing potential and critical growth
zbMATH Open document ID: 1444.35055
DOI: 10.1155/2020/3197596
published in: Journal of Function Spaces
publication date: 2020-07-15T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 7220559
zbMATH Keywords: Schrödinger-Poisson systems
zbMATH Keywords: positive solutions
author: Pengfei He
author: Hongmin Suo
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/3197596
OpenAlex ID: W3039654712
cites work: Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent
cites work: Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
cites work: Ground state and multiple solutions for Schrödinger-Poisson equations with critical nonlinearity
cites work: Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation
cites work: Infinitely many high energy radial solutions for a class of nonlinear Schrödinger-Poisson systems in \(\mathbb{R}^3\)
cites work: Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
cites work: On ground state solutions for the Schrödinger-Poisson equations with critical growth
cites work: Multiple positive solutions for Schrödinger‐Poisson system involving singularity and critical exponent
cites work: Least energy radial sign-changing solution for the Schrödinger-Poisson system in \(\mathbb{R}^3\) under an asymptotically cubic nonlinearity
cites work: Multiplicity of positive solutions for Schrödinger-Poisson systems with a critical nonlinearity in \(\mathbb{R}^3\)
cites work: Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth
cites work: Existence of nontrivial solutions for Schrödinger-Poisson systems with critical exponent on bounded domains
cites work: Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth
cites work: Q5225112
cites work: On a system involving a critically growing nonlinearity
cites work: Ground state solutions for the nonlinear Schrödinger-Maxwell equations
cites work: Generalized Schrödinger-Newton system in dimension \(N\geqslant 3\): critical case
cites work: Multiple results for critical quasilinear elliptic systems involving concave-convex nonlinearities and sign-changing weight functions
cites work: Ground state solutions for the non-linear fractional Schrödinger–Poisson system
cites work: Ground state solutions of Schrödinger-Poisson systems with variable potential and convolution nonlinearity
cites work: Existence of positive solution to Kirchhoff-Schrödinger-Poisson system with strong singular term
cites work: Multiple positive solutions of a class of Schrödinger-Poisson equation involving indefinite nonlinearity in \(\mathbb{R}^3\)
cites work: Positive and nodal solutions for a nonlinear Schrödinger-Poisson system with sign-changing potentials
cites work: Positive solutions for a Schrödinger-Poisson system involving concave-convex nonlinearities
cites work: Multiple positive solutions for a Schrödinger-Newton system with sign-changing potential
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Dual variational methods in critical point theory and applications
description: scientific article; zbMATH DE number 7220559