Existence and concentration of nontrivial nonnegative ground state solutions to Kirchhoff-type system with Hartree-type nonlinearity
type: Item
instance of: scholarly article
title: Existence and concentration of nontrivial nonnegative ground state solutions to Kirchhoff-type system with Hartree-type nonlinearity
zbMATH Open document ID: 1406.35123
author: Fuyi Li
author: Chunjuan Gao
author: Zhanping Liang
author: Junping Shi
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2019-01-03T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 6997344
zbMATH Keywords: Kirchhoff-type system
zbMATH Keywords: Hartree-type nonlinearity
zbMATH Keywords: ground state solution
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: s00033-018-1043-5
OpenAlex ID: W2899617302
cites work: Q5318420
cites work: Positive solutions for a quasilinear elliptic equation of Kirchhoff type
cites work: Semiclassical states of nonlinear Schrödinger equations
cites work: MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
cites work: Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations
cites work: NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
cites work: Existence and multiplicity results for some superlinear elliptic problems on RN
cites work: An eigenvalue problem for the Schrödinger-Maxwell equations
cites work: Standing waves with a critical frequency for nonlinear Schrödinger equations
cites work: Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
cites work: Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
cites work: Existence and concentration result for the Kirchhoff type equations with general nonlinearities
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
cites work: Infinitely many positive solutions for Kirchhoff-type problems
cites work: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
cites work: Concentrating bounded states for a class of singularly perturbed Kirchhoff type equations with a general nonlinearity
cites work: Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
cites work: Concentrating bound states for Kirchhoff type problems in \({\mathbb R}^3\) involving critical Sobolev exponents
cites work: GROUND AND BOUND STATES FOR A STATIC SCHRÖDINGER–POISSON–SLATER PROBLEM
cites work: Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
cites work: Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent
cites work: INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
cites work: Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
cites work: Existence of a positive solution to Kirchhoff-type problems without compactness conditions
cites work: Existence of positive solutions to Kirchhoff type problems with zero mass
cites work: Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
cites work: Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
cites work: Analysis.
cites work: The Choquard equation and related questions
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: A note on Kirchhoff-type equations with Hartree-type nonlinearities
cites work: Classification of positive solitary solutions of the nonlinear Choquard equation
cites work: Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
cites work: The Schrödinger–Poisson System with Positive Potential
cites work: On a class of nonlinear Schrödinger equations
cites work: SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE
cites work: The Schrödinger-Poisson equation under the effect of a nonlinear local term
cites work: On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
cites work: Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
cites work: Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
cites work: Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
cites work: Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
cites work: Minimax theorems
cites work: Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
cites work: Existence and concentration of positive solutions for Kirchhoff-type problems with a steep well potential
cites work: Existence and multiplicity of solutions for Schrödinger-Poisson equations with sign-changing potential
cites work: Existence of infinitely many solutions to a class of Kirchhoff-Schrödinger-Poisson system
cites work: Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
Wikidata QID: Q128991774
DOI: 10.1007/S00033-018-1043-5
Recommended article: Existence and concentration of ground state solutions for critical Kirchhoff-type equation involving Hartree-type nonlinearities
Recommended article: The concentration behavior of ground states for a class of Kirchhoff-type problems with Hartree-type nonlinearity
Recommended article: Existence and concentration of ground state solutions for Kirchhoff type equations with general nonlinearities
Recommended article: Q3466973
Recommended article: Existence and concentration of ground state solutions for a class of Kirchhoff-type problems
Recommended article: EXISTENCE AND CONCENTRATION RESULT FOR KIRCHHOFF EQUATIONS WITH CRITICAL EXPONENT AND HARTREE NONLINEARITY
Recommended article: Ground states for Kirchhoff equation with Hartree-type nonlinearities

Existence and concentration of nontrivial nonnegative ground state solutions to Kirchhoff-type system with Hartree-type nonlinearity (Recommended article)
Recommended article: Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials
Similarity Score: 0.9264437
Recommender Run: Recommender Run 3

Existence and concentration of nontrivial nonnegative ground state solutions to Kirchhoff-type system with Hartree-type nonlinearity (Recommended article)
Recommended article: Existence and Concentration of Positive Solutions for Nonlinear Kirchhoff-Type Problems with a General Critical Nonlinearity
Similarity Score: 0.92462873
Recommender Run: Recommender Run 3

Existence and concentration of nontrivial nonnegative ground state solutions to Kirchhoff-type system with Hartree-type nonlinearity (Recommended article)
Recommended article: Existence and concentration result for the Kirchhoff type equations with general nonlinearities
Similarity Score: 0.9240393
Recommender Run: Recommender Run 3