*Special Lecture* A rigidity result for an over determined problem

*Special Lecture* A rigidity result for an over determined problem

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Marcello Lucia, The City University of New York
Fine Hall 601

*Special Lecture in Differential Geometry and Geometric Analysis*

Motivated by some works that go back to Schiffer, we will discuss semilinear equations subjected to two or more boundary conditions.Classifying the domains where such over determined problems admit a solution is in many cases an open problem. We will present some recent results obtained in collaboration with Prof. Kawohl (Cologne).