On the uniqueness of the second bound state solution of a semilinear equation
type: Item
instance of: scholarly article
title: On the uniqueness of the second bound state solution of a semilinear equation
zbMATH Open document ID: 1181.35088
author: Carmen Cortázar
author: Cecilia Yarur
author: Marta Garcia-Huidobro
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2009-12-18T00:00:00Z
full work available at URL: https://eudml.org/doc/78926
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5649865
zbMATH Keywords: bound state
zbMATH Keywords: uniqueness
zbMATH Keywords: separation lemmas
zbMATH Keywords: semilinear equation
MaRDI profile type: Publication
OpenAlex ID: W2068547875
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Nonexistence of positive solutions of quasilinear equations
cites work: Uniqueness of the ground state solutions of △u+f(u)=0 in Rn, n≥3
cites work: Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
cites work: A nonlinear boundary value problem with many positive solutions
cites work: On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity
cites work: Uniqueness of positive solutions of \(\Delta u+f(u)=0\) in \(\mathbb{R}^N\), \(N\geqq 3\)
cites work: On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian
cites work: Uniqueness theorems for positive radial solutions of quasilinear elliptic equations in a ball
cites work: Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
cites work: ON THE UNIQUENESS OF POSITIVE SOLUTIONS OF A QUASILINEAR EQUATION CONTAINING A WEIGHTED p-LAPLACIAN, THE SUPERLINEAR CASE
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
cites work: Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
cites work: Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros
cites work: Uniqueness of positive solutions of semilinear equations in \(R^ n\).
cites work: Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
cites work: Q4221425
cites work: Uniqueness of ground states for quasilinear elliptic equations
cites work: The existence and uniqueness of bound-state solutions of a semi-linear equation
DOI: 10.1016/J.ANIHPC.2009.01.004
description: scientific article; zbMATH DE number 5649865