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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Valdinoci, Enrico, 1974-
Autres auteurs: Sciunzi, Berardino, Savin, Vasile Ovidiu, 1977-
Format: Électronique eBook
Langue:Inglés
Publié: Providence, RI : American Mathematical Society, 2006.
Collection:Memoirs of the American Mathematical Society ; no. 858.
Sujets:
Geometry, Differential.
Laplacian operator.
Level set methods.
Géométrie différentielle.
Laplacien.
Méthodes d'ensembles de niveaux.
Geometry, Differential
Laplacian operator
Level set methods
Accès en ligne:Texto completo
Table des matières:
  • 1. Introduction 2. Modifications of the potential and of one-dimensional solutions 3. Geometry of the touching points 4. Measure theoretic results 5. Estimates on the measure of the projection of the contact set 6. Proof of Theorem 1.1 7. Proof of Theorem 1.2 8. Proof of Theorem 1.3 9. Proof of Theorem 1.4.

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