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Flat level set regularity of p-Laplace phase transitions /
We prove a Harnack inequality for level sets of $p$-Laplace phase transition minimizers. In particular, if a level set is included in a flat cylinder, then, in the interior, it is included in a flatter one. The extension of a result conjectured by De Giorgi and recently proven by the third author fo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
2006.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 858. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Valdinoci, Enrico, |d 1974- |1 https://id.oclc.org/worldcat/entity/E39PBJp9xc8FgrdtmvWymDpwYP | |
| 245 | 1 | 0 | |a Flat level set regularity of p-Laplace phase transitions / |c Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin. |
| 260 | |a Providence, RI : |b American Mathematical Society, |c 2006. | ||
| 300 | |a 1 online resource (vi, 144 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 858 | |
| 500 | |a "July 2006, volume 182, number 858 (second of 4 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 143-144). | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a We prove a Harnack inequality for level sets of $p$-Laplace phase transition minimizers. In particular, if a level set is included in a flat cylinder, then, in the interior, it is included in a flatter one. The extension of a result conjectured by De Giorgi and recently proven by the third author for $p=2$ follows. | |
| 505 | 0 | 0 | |t 1. Introduction |t 2. Modifications of the potential and of one-dimensional solutions |t 3. Geometry of the touching points |t 4. Measure theoretic results |t 5. Estimates on the measure of the projection of the contact set |t 6. Proof of Theorem 1.1 |t 7. Proof of Theorem 1.2 |t 8. Proof of Theorem 1.3 |t 9. Proof of Theorem 1.4. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Laplacian operator. | |
| 650 | 0 | |a Level set methods. | |
| 650 | 6 | |a Géométrie différentielle. | |
| 650 | 6 | |a Laplacien. | |
| 650 | 6 | |a Méthodes d'ensembles de niveaux. | |
| 650 | 7 | |a Geometry, Differential |2 fast | |
| 650 | 7 | |a Laplacian operator |2 fast | |
| 650 | 7 | |a Level set methods |2 fast | |
| 700 | 1 | |a Sciunzi, Berardino. | |
| 700 | 1 | |a Savin, Vasile Ovidiu, |d 1977- |1 https://id.oclc.org/worldcat/entity/E39PBJpjd8PxQ4BDBr43fk3qQq | |
| 758 | |i has work: |a Flat level set regularity of p-Laplace phase transitions (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH8GkwMGYypM96JGtFMGxP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Valdinoci, Enrico, 1974- |t Flat level set regularity of p-Laplace phase transitions / |x 0065-9266 |z 9780821839102 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 858. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114056 |z Texto completo |
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