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A geometric approach to some overdetermined problems in potential theory


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.
http://cvgmt.sns.it/seminar/400/
When
Wed May 7, 2014 3pm – 4pm Coordinated Universal Time
Where
Aula Riunioni - Department of Mathematics, University of Pisa (map)