Mean value properties and unique continuation

José G. Llorente · Communications on Pure &amp Applied Analysis · 2015

In the first part of the paper we review some mean value propertiesand their connections to the Laplacian and other significantnonlinear operators like the $p$-Laplacian and theinfinity-Laplacian. The second part is devoted to the uniquecontinuation property, including a brief description of the methods,some of the main problems in the area and connections to the socalled infinity mean value property.

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