Minimization problems for the exterior domain
type: Item
instance of: scholarly article
title: Minimization problems for the exterior domain
zbMATH Open document ID: 0894.49003
author: Orlando Lopes
published in: Calculus of Variations and Partial Differential Equations
publication date: 1998-08-18T00:00:00Z
review text: This paper contains a discussion on the existence of minimizers for \[ V(u)={1\over 2}\int_{\Omega } | \text{grad } u(x)| ^2dx +\int_{\Omega }F(u(x))dx \] subject to \[ I(u)=\int_{\Omega }G(u(x))dx =\lambda >0, \] where \(F(u)\) and \(G(u)\) are given functions and \(\Omega \) is the complement of a bounded domain in \({\mathbb{R}}^N\). Some applications to the existence and stability of solitary waves for certain evolution equations have been indicated.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 76B25
zbMATH DE Number: 1051408
zbMATH Keywords: optimal control problems
zbMATH Keywords: solitary waves
zbMATH Keywords: evolution equations
MaRDI profile type: Publication
full work available at URL: s005260050075
OpenAlex ID: W1999509357
DOI: 10.1007/S005260050075
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description: scientific article; zbMATH DE number 1051408