Critical point theory for nonsmooth functionals
type: Item
instance of: scholarly article
title: Critical point theory for nonsmooth functionals
zbMATH Open document ID: 1117.58008
author: Yuxia Guo
author: Jia-Quan Liu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-04-19T00:00:00Z
review text: The authors develop critical point theory for nonsmooth potentials \(f\colon H^1_0(\Omega)\longrightarrow\mathbb{R}\) of the form \(f(u)=\frac{1}{2}\int_{\Omega}\sum\limits_{i,j=1}^na_{ij}(x,u)D_iuD_ju\,dx-\int_{\Omega}G(x,u)\,dx\). First, the corresponding deformation lemma is proved. Next, a saddle point theorem is proved for functionals defined on a product space.
reviewed by: Leszek Gasiński
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 5144902
zbMATH Keywords: deformation lemma
zbMATH Keywords: saddle point theorem
zbMATH Keywords: quasilinear equation
MaRDI profile type: Publication
full work available at URL: j.na.2006.04.003
OpenAlex ID: W2042237041
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DOI: 10.1016/J.NA.2006.04.003
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description: scientific article; zbMATH DE number 5144902