Self improving Sobolev-Poincaré inequalities, truncation and symmetrization
In Martín et al. (J Funct Anal 252:677-695, 2007) we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in W01,1(Ω). In this paper we extend our method to Sobolev functions that do not vanish at the boundary.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2008 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:271413 |
| Online Access: | https://ddd.uab.cat/record/271413 https://dx.doi.org/urn:doi:10.1007/s11118-008-9102-8 |
| Access Level: | Open access |
| Keyword: | Self-improving Sobolev-Poincaré inequalities Symmetrization Truncation |
| Summary: | In Martín et al. (J Funct Anal 252:677-695, 2007) we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in W01,1(Ω). In this paper we extend our method to Sobolev functions that do not vanish at the boundary. |
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