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arxiv: 0707.0376 · v1 · submitted 2007-07-03 · 🧮 math.FA · math.AP

Self Improving Sobolev-Poincare Inequalities, Truncation and Symmetrization

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keywords functionsinequalitiesmethodsobolevsymmetrizationboundarydevelopedextend
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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.

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