Pointwise symmetrization inequalities for Sobolev functions and applications
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.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2010 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:270409 |
| Online Access: | https://ddd.uab.cat/record/270409 https://dx.doi.org/urn:doi:10.1016/j.aim.2010.02.022 |
| Access Level: | Open access |
| Keyword: | Concentration Isoperimetric inequalities Logarithmic Sobolev inequalities Poincaré Symmetrization |
| Summary: | 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. |
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