Non-degeneracy of positive solutions of Kirchhoff equations and its application
type: Item
instance of: scholarly article
title: Non-degeneracy of positive solutions of Kirchhoff equations and its application
zbMATH Open document ID: 1406.35121
author: Zhengmao Chen
author: Qiuyi Dai
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-12-10T00:00:00Z
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6991300
zbMATH Keywords: Kirchhoff equations
zbMATH Keywords: positive solutions
zbMATH Keywords: non-degeneracy theorem
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.10.014
OpenAlex ID: W2896603228
cites work: Positive solutions for a quasilinear elliptic equation of Kirchhoff type
cites work: Semiclassical states of nonlinear Schrödinger equations
cites work: Multiplicity results for some nonlinear Schrödinger equations with potentials
cites work: On the Well-Posedness of the Kirchhoff String
cites work: Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation
cites work: A note on the elliptic Kirchhoff equation in ℝNperturbed by a local nonlinearity
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Q5780514
cites work: Existence and uniqueness results on single-peaked solutions of a semilinear problem
cites work: Solutions with multiple peaks for nonlinear elliptic equations
cites work: Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations
cites work: Spectra of Linearized Operators for NLS Solitary Waves
cites work: Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
cites work: Uniqueness of positive solutions of \(\Delta u+f(u)=0\) in \(\mathbb{R}^N\), \(N\geqq 3\)
cites work: A priori bounds for positive solutions of Kirchhoff type equations
cites work: Global solvability for the degenerate Kirchhoff equation with real analytic data
cites work: Concentrating standing waves for the fractional nonlinear Schrödinger equation
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: Existence and concentration result for the Kirchhoff type equations with general nonlinearities
cites work: Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
cites work: Uniqueness of radial solutions for the fractional Laplacian
cites work: Symmetry and related properties via the maximum principle
cites work: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
cites work: Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
cites work: Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Uniqueness of ground states for pseudorelativistic Hartree equations
cites work: Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
cites work: Instability of nonlinear dispersive solitary waves
cites work: Q4189540
cites work: On Positive Multipeak Solutions of a Nonlinear Elliptic Problem
cites work: Uniqueness and nondegeneracy of positive solutions of \((-\Delta )^su+u= u^p\) in \(\mathbb R^N\) when s is close to 1
cites work: Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
cites work: Multi-peak positive solutions to a class of Kirchhoff equations
cites work: Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
cites work: Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
cites work: Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
cites work: On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
cites work: Local mountain passes for semilinear elliptic problems in unbounded domains
cites work: Semi-classical states for nonlinear Schrödinger equations
cites work: Uniqueness of positive solutions of semilinear equations in \(R^ n\).
cites work: Uniqueness and stability of ground states for some nonlinear Schrödinger equations
cites work: Existence of solitary waves in higher dimensions
cites work: Modulational Stability of Ground States of Nonlinear Schrödinger Equations
cites work: Lyapunov stability of ground states of nonlinear dispersive evolution equations
Wikidata QID: Q129160336
DOI: 10.1016/J.JMAA.2018.10.014
description: scientific article; zbMATH DE number 6991300