Uniqueness of least energy solutions to a semilinear elliptic equation in \(\mathbb{R}^ 2\)
type: Item
instance of: scholarly article
title: Uniqueness of least energy solutions to a semilinear elliptic equation in \(\mathbb{R}^ 2\)
zbMATH Open document ID: 0807.35043
DOI: 10.1007/BF02567439
author: Chang-Shou Lin
published in: Manuscripta Mathematica
publication date: 1995-03-09T00:00:00Z
full work available at URL: https://eudml.org/doc/155974
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 701148
zbMATH Keywords: semilinear elliptic equation
zbMATH Keywords: solutions at the least energy
zbMATH Keywords: uniqueness
zbMATH Keywords: Pokhozaev's identity
zbMATH Keywords: bounded convex domain in \(\mathbb{R}^ 2\)
zbMATH Keywords: mountain pass lemma
MaRDI profile type: Publication
cites work: The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
cites work: The effect of domain shape on the number of positive solutions of certain nonlinear equations
cites work: The effect of domain shape on the number of positive solutions of certain nonlinear equations. II
cites work: Convex solutions of certain elliptic equations have constant rank Hessians
OpenAlex ID: W1982882612
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description: scientific article; zbMATH DE number 701148