Mean value properties and unique continuation

José G. Llorente

doi:https://doi.org/10.3934/cpaa.2015.14.185

Mean value properties and unique continuation

José G. Llorente

Research output: Contribution to journal › Article › Research › peer-review

11 Citations (Scopus)

Abstract

In the first part of the paper we review some mean value properties and their connections to the Laplacian and other significant nonlinear operators like the p-Laplacian and the infinity-Laplacian. The second part is devoted to the unique continuation property, including a brief description of the methods, some of the main problems in the area and connections to the so called infinity mean value property.

Original language	English
Pages (from-to)	185-199
Journal	Communications on Pure and Applied Analysis
Volume	14
DOIs	https://doi.org/10.3934/cpaa.2015.14.185
Publication status	Published - 1 Jan 2015

Keywords

Infinity Laplacian
Mean value property
Unique continuation

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