Calculus of Variations and Geometric Measure Theory
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A geometric approach to some overdetermined problems in potential theory

Lorenzo Mazzieri (SISSA Trieste)

created by dicastro on 04 May 2014

7 may 2014 -- 17:00   [open in google calendar]

Aula Riunioni - Department of Mathematics, University of Pisa

Abstract.

We present a new method to establish the rotational symmetry of solutions to overdetermined elliptic boundary value problems. We illustrate this approach through a couple of classical examples arising in potential theory, in both the exterior and the interior punctured domain. We discuss how some of the known results can be recovered and we introduce some new geometric overdetermining conditions, involving the mean curvature of the boundary and the Neumann data.

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