Self Improving Sobolev-Poincare Inequalities, Truncation and Symmetrization

Abstract

In a previous paper 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.

References in corpus (1)

• Sobolev Inequalities: Symmetrization and Self Improvement via Truncation

Cited by in corpus (1)

• Isoperimetry and symmetrization for logarithmic Sobolev inequalities