We prove that the unique solution to the Dirichlet problem with constant source term for the inhomogeneous normalized infinity Laplacian on a convex domain of $mathbb{R}^N$ is of class $C^1$. The result is obtained by showing as an intermediate step the power-concavity (of exponent $1/2$) of the solution.
A C^1 regularity result for the inhomogeneous normalized infinity Laplacian / Crasta, Graziano; Fragalà, Ilaria. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 144:(2016), pp. 2547-2558. [10.1090/proc/12916]
A C^1 regularity result for the inhomogeneous normalized infinity Laplacian
CRASTA, Graziano;
2016
Abstract
We prove that the unique solution to the Dirichlet problem with constant source term for the inhomogeneous normalized infinity Laplacian on a convex domain of $mathbb{R}^N$ is of class $C^1$. The result is obtained by showing as an intermediate step the power-concavity (of exponent $1/2$) of the solution.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Crasta_C1-regularity-result_2016.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
224.46 kB
Formato
Adobe PDF
|
224.46 kB | Adobe PDF | Contatta l'autore |
|
Crasta_preprint_C1-regularity-result_2016.pdf
accesso aperto
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
336.32 kB
Formato
Adobe PDF
|
336.32 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
