Pointwise Symmetrization Inequalities for Sobolev Functions and Applications
نویسنده
چکیده
We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations.
منابع مشابه
ar X iv : 0 70 7 . 03 76 v 1 [ m at h . FA ] 3 J ul 2 00 7 SELF IMPROVING SOBOLEV - POINCARÉ INEQUALITIES , TRUNCATION AND SYMMETRIZATION
In our recent paper [12] we developed a new principle of “symmetrization by truncation” to obtain symmetrization inequalities of Sobolev type via truncation. In this note we consider the corresponding results for Sobolev spaces on domains, without assuming that the Sobolev functions vanish at the boundary. The explicit connection between Sobolev-Poincaré inequalities and isoperimetric inequalit...
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