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Mean value properties and unique continuation

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  • 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.
    Mathematics Subject Classification: Primary: 31C05, 35B60; Secondary: 31C45.


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