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arXiv · 2402.09817

On a Serrin-type overdetermined problem

Antonio Celentano·Carlo Nitsch·Cristina Trombetti
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Abstract

In this paper, we prove a Serrin-type result for an elliptic system of equations, overdetermined with both Dirichlet and a generalized Neumann conditions. With this tool, we characterize the critical shapes under volume constraint of some domain functionals.

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Antonio Celentano, Carlo Nitsch, Cristina Trombetti. 2024-02-15. On a Serrin-type overdetermined problem. https://arxiv.org/abs/2402.09817

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