Description

• Title:
  Hardy-Sobolev inequalities with remainder terms
• Creator:
  Rădulescu, Vicenţiu D.;
  Smets, Didier;
  Willem, Michael
• Description:
  We prove two Hardy-Sobolev type inequalities in ${\mathcal D}^{1,2}({\mathbb R}^N)$, resp. in $H^1_0(\Omega)$, where $\Omega$ is a bounded domain in ${\mathbb R}^N$, $N\geq 3$. The framework involves the singular potential $\vert x\vert ^{-a}$, with $a\in (0,1)$. Our paper extends previous results established by Bianchi and Egnell [< i> A Note on the Sobolev inequality< /i> , J. Funct. Anal. < b> 100< /b> (1991), 18–24], resp. by Brezis and Lieb [< i> Inequalities with remainder terms< /i> , J. Funct. Anal. < b> 62< /b> (1985), 73–86], corresponding to the case $a=0$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2002.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 20, No 1 (September 2002); 145 - 149;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.030/9642
• Subject:
  Hardy-Sobolev inequality;
  minimization problem;
  singular potential;
  Schwartz symmetrization;
  Primary 35J85;
  49J40;
  Secondary 35R45;
  47J20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.030
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other