Serrin-type Theorems on Triangles
Résumé
We investigate interior and exterior overdetermined boundary value problems on triangles, which corresponds to study stationary triangles for variational functionals under volume or perimeter constraint. We prove that in certain cases the only triangle supporting solutions is the equilateral one. In some other cases, we obtain that all triangles support solutions, thus extending (through a simpler proof) what recently shown in [8].
Origine : Fichiers produits par l'(les) auteur(s)
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