Serrin’s type overdetermined problems in convex cones

@article{Ciraolo2018SerrinsTO,
  title={Serrin’s type overdetermined problems in convex cones},
  author={Giulio Ciraolo and Alberto Roncoroni},
  journal={Calculus of Variations and Partial Differential Equations},
  year={2018},
  volume={59},
  pages={1-21}
}
  • G. Ciraolo, A. Roncoroni
  • Published 22 June 2018
  • Mathematics
  • Calculus of Variations and Partial Differential Equations
We consider overdetermined problems of Serrin’s type in convex cones for (possibly) degenerate operators in the Euclidean space as well as for a suitable generalization to space forms. We prove rigidity results by showing that the existence of a solution implies that the domain is a spherical sector. 
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