English

Self Improving Sobolev-Poincare Inequalities, Truncation and Symmetrization

Functional Analysis 2008-11-04 v1 Analysis of PDEs

Abstract

In a previous paper we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in W01,1(Ω)W_{0}^{1,1}(\Omega). In this paper we extend our method to Sobolev functions that do not vanish at the boundary.

Keywords

Cite

@article{arxiv.0707.0376,
  title  = {Self Improving Sobolev-Poincare Inequalities, Truncation and Symmetrization},
  author = {Joaquim Martin and Mario Milman},
  journal= {arXiv preprint arXiv:0707.0376},
  year   = {2008}
}