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Pointwise symmetrization inequalities for Sobolev functions and applications |
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| Authors: | Joaquim Martín Mario Milman |
| Institution: | a Department of Mathematics, Universitat Autònoma de Barcelona, Spain b Department of Mathematics, Florida Atlantic University, United States |
| Abstract: | 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. |
| Keywords: | Logarithmic Sobolev inequalities Poincaré Symmetrization Isoperimetric inequalities Concentration |
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