General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
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| Format: | Artículo científico |
| Langue: | en |
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Academia Brasileira de Ciências
2005
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| _version_ | 1876423492478435328 |
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| author | Jurandir Ceccon |
| author_facet | Jurandir Ceccon |
| contents | General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities Jurandir Ceccon Marcos Montenegro Multidisciplinaria (Ciencias Naturales y Exactas) Gagliardo best constants convex analysis mass transportation Nirenberg inequalities We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using masstransportation and convex analysis results. Explicit extremals and the computation of some optimalconstants are also provided. In particular we extend the optimal Gagliardo-Nirenberg inequalityproved by Del Pino and Dolbeault 2003 and the optimal inequalities proved by Cordero-Erausquinet al. 2004. 2005 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32777401 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.77 |
| format | Artículo científico |
| id | redalyc_32777401 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities Jurandir Ceccon Multidisciplinaria (Ciencias Naturales y Exactas) Gagliardo best constants convex analysis mass transportation Nirenberg inequalities General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities Jurandir Ceccon Marcos Montenegro Multidisciplinaria (Ciencias Naturales y Exactas) Gagliardo best constants convex analysis mass transportation Nirenberg inequalities We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using masstransportation and convex analysis results. Explicit extremals and the computation of some optimalconstants are also provided. In particular we extend the optimal Gagliardo-Nirenberg inequalityproved by Del Pino and Dolbeault 2003 and the optimal inequalities proved by Cordero-Erausquinet al. 2004. 2005 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32777401 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.77 |
| title | General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Gagliardo best constants convex analysis mass transportation Nirenberg inequalities |
| url | https://www.redalyc.org/articulo.oa?id=32777401 |