We prove L∞ bounds and estimates of the modulus of continuity of solutions to the Poisson problem for the normalized infinity and p-Laplacian, namely, 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.
|Original language||English (US)|
|Number of pages||27|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Nov 2013|
ASJC Scopus subject areas
- Applied Mathematics