The Leray-Schauder boundary condition in critical point theory
type: Item
instance of: scholarly article
title: The Leray-Schauder boundary condition in critical point theory
zbMATH Open document ID: 1186.58012
author: Radu Precup
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-07-24T00:00:00Z
review text: The author presents a version of Schechter's bounded mountain pass theorem in a Hilbert space not identified to its dual. An application to positive solutions of elliptic boundary value problems \[ \begin{cases} \Delta u+f(u)=0 & \text{in}\;\Omega,\\ u>0\;\text{in}\;\Omega, & u=0\;\text{on}\;\partial\Omega, \end{cases} \] is given.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 47J30
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 5586853
zbMATH Keywords: critical point
zbMATH Keywords: mountain pass lemma
zbMATH Keywords: Leray-Schauder condition
zbMATH Keywords: positive solution
zbMATH Keywords: elliptic problem
MaRDI profile type: Publication
full work available at URL: j.na.2009.01.195
OpenAlex ID: W2019429018
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DOI: 10.1016/J.NA.2009.01.195
description: scientific article; zbMATH DE number 5586853