In this paper, we prove a Serrin-type result for an elliptic system of equa- tions, overdetermined with both Dirichlet and generalized Neumann conditions. With this tool, we characterize the critical shapes of some domain functionals under volume constraints.
On a Serrin Type Overdetermined Problem / Celentano, A.; Nitsch, C.; Trombetti, C.. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - 92:(2024), pp. 579-590. [10.1007/s00032-024-00405-9]
On a Serrin Type Overdetermined Problem
A. Celentano;C. Nitsch;C. Trombetti
2024
Abstract
In this paper, we prove a Serrin-type result for an elliptic system of equa- tions, overdetermined with both Dirichlet and generalized Neumann conditions. With this tool, we characterize the critical shapes of some domain functionals under volume constraints.File in questo prodotto:
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