Hardy-Littlewood Type Gradient Estimates for Quasiminimizers

Kinnunen, J. ; Kotilainen, M. ; Latvala, V.

Bollettino dell'Unione Matematica Italiana, Tome 3 (2010), p. 125-136 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

We prove Hardy-Littlewood type integral estimates for quasiminimizers in the unit ball of the Euclidean n-space. These extend known results for planar analytic functions to a more general class of functions. Our results can be regarded as weighted Caccioppoli and Poincaré inequalities for quasiminimizers.

Détail

Publié le : 2010-02-01

MR 2605915 | Zbl 1205.35005

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