Description

• Title:
  Hardy's inequality in unbounded domains
• Creator:
  Colin, Fabrice
• Description:
  The aim of this paper is to consider Hardy's inequality with weight on unbounded domains. In particular, using a decomposition lemma, we study the existence of a minimizer for $$ S_\varepsilon(\Omega):= \inf_{u \in D_{\varepsilon}^{1,2}(\Omega)} \frac {\int_{\Omega}{\vert\nabla u\vert}^2{\delta^{\varepsilon}}dx} {\int_{\Omega}{\vert u\vert}^2\delta^{\varepsilon - 2}dx}. $$
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2001.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 17, No 2 (June 2001); 277 - 284;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.016/9947
• Subject:
  Hardy's inequality;
  concentration-compactness;
  decomposition lemma;
  Primary 26D10;
  Secondary 46E35
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.016
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other