Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions
type: Item
instance of: scholarly article
title: Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions
zbMATH Open document ID: 1455.35066
author: Gui-Dong Li
author: Yong-Yong Li
author: Chun-Lei Tang
published in: Journal of Differential Equations
publication date: 2021-01-08T00:00:00Z
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7291332
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Berestycki-Lions type conditions
zbMATH Keywords: Hardy potential
zbMATH Keywords: ground state solution
zbMATH Keywords: varriational methods
MaRDI profile type: Publication
full work available at URL: j.jde.2020.12.007
OpenAlex ID: W3111554203
cites work: Q4073917
cites work: Existence of a ground state solution for a nonlinear scalar field equation with critical growth
cites work: Dual variational methods in critical point theory and applications
cites work: On the Schroedinger equation in $\mathbb{R}^{N}$ under the effect of a general nonlinear term
cites work: Q4878903
cites work: Q3370597
cites work: Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Nonlinear scalar field equations. II: Existence of infinitely many solutions
cites work: Remarks on the Schrödinger operator with singular complex potentials
cites work: Q3676658
cites work: On the Caffarelli–Kohn–Nirenberg inequalities
cites work: On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions.
cites work: Positive bound states having prescribed symmetry for a class of nonlinear elliptic equations in \(\mathbb{R}^N\)
cites work: Some nonlinear elliptic problems in unbounded domains
cites work: Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients
cites work: Multiple positive solutions for a class of nonlinear elliptic equations
cites work: On the Best Constant for a Weighted Sobolev-Hardy Inequality
cites work: Homoclinic type solutions for a semilinear elliptic PDE on ℝn
cites work: On the Hardy–Sobolev equation
cites work: On Schrödinger operators with multipolar inverse-square potentials
cites work: Nonlinear diffusion in population genetics
cites work: The Hardy-Schrödinger operator with interior singularity: the remaining cases
cites work: Hardy-singular boundary mass and Sobolev-critical variational problems
cites work: Elliptic partial differential equations of second order
cites work: Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials
cites work: Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential
cites work: Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: Nonlinear scalar field equations with general nonlinearity
cites work: A remark on least energy solutions in $\mathbf {R}^N$
cites work: A positive solution for a nonlinear Schroedinger equation on R^N
cites work: Ground states of nonlinear Schrödinger equations with potentials
cites work: Analysis.
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Ground state solution for a class of Schrödinger equations involving general critical growth term
cites work: A perturbation of nonlinear scalar field equations
cites work: Existence of groundstates for a class of nonlinear Choquard equations
cites work: The principle of symmetric criticality
cites work: On a class of nonlinear Schrödinger equations
cites work: Q4185363
cites work: Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
cites work: A global compactness result for elliptic boundary value problems involving limiting nonlinearities
cites work: Variational Methods
cites work: On positive entire solutions to a class of equations with a singular coefficient and critical exponent
cites work: Minimax theorems
cites work: The critical case for a Berestycki-Lions theorem
cites work: A BERESTYCKI–LIONS THEOREM REVISITED
DOI: 10.1016/J.JDE.2020.12.007
description: scientific article; zbMATH DE number 7291332