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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Valdinoci, Enrico, 1974-
Otros Autores: Sciunzi, Berardino, Savin, Vasile Ovidiu, 1977-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, 2006.
Colección:Memoirs of the American Mathematical Society ; no. 858.
Temas:
Geometry, Differential.
Laplacian operator.
Level set methods.
Géométrie différentielle.
Laplacien.
Méthodes d'ensembles de niveaux.
Geometry, Differential
Laplacian operator
Level set methods
Acceso en línea:Texto completo
Descripción
Sumario: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.
Notas:"July 2006, volume 182, number 858 (second of 4 numbers)."
Descripción Física:1 online resource (vi, 144 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 143-144).
ISBN:9781470404628
1470404621
ISSN:1947-6221 ;
0065-9266

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