Potential Analysis

, Volume 29, Issue 4, pp 391–408 | Cite as

Self Improving Sobolev-Poincaré Inequalities, Truncation and Symmetrization

Article

Abstract

In Martín et al. (J Funct Anal 252:677–695, 2007) we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in \(W_{0}^{1,1}(\Omega)\). In this paper we extend our method to Sobolev functions that do not vanish at the boundary.

Keywords

Sobolev-Poincaré inequalities Self-improving Truncation Symmetrization 

Mathematics Subject Classifications (2000)

Primary 46E30 26D10 

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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversitat Autònoma de BarcelonaBellaterraSpain
  2. 2.Department of MathematicsFlorida Atlantic UniversityBoca RatonUSA

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