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arXiv · 1708.02032

A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument

Alberto Roncoroni
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Abstract

We consider the classical "Serrin symmetry result" for the overdetermined boundary value problem related to the equation $\Delta u=-1$ in a model manifold of non-negative Ricci curvature. Using an extension of the Weinberger classical argument we prove a Euclidean symmetry result under a suitable "compatibility" assumption between the solution and the geometry of the model.

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Alberto Roncoroni. 2017-08-07. A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument. https://arxiv.org/abs/1708.02032

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