We are able to provide a stable family of results depending continuously on the parameter p. We also prove the failure of the classical Alexandrov-Bakelman-Pucci estimate for the normalized infinity Laplacian and propose alternate estimates.

On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian / Charro, F; De Philippis, Guido; Di Castro, A; Máximo, D.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 48:3-4(2013), pp. 667-693. [10.1007/s00526-012-0567-3]

On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian

De Philippis, Guido;
2013-01-01

Abstract

We are able to provide a stable family of results depending continuously on the parameter p. We also prove the failure of the classical Alexandrov-Bakelman-Pucci estimate for the normalized infinity Laplacian and propose alternate estimates.
2013
48
3-4
667
693
https://arxiv.org/abs/1108.0113
Charro, F; De Philippis, Guido; Di Castro, A; Máximo, D.
File in questo prodotto:
File Dimensione Formato  
2013_On the Aleksandrov?Bakelman?Pucci estimate for the infinity Laplacian.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 345.73 kB
Formato Adobe PDF
345.73 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/11603
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 7
social impact