2 papers
math.AP2025
Overdetermined elliptic problems on model Riemannian manifolds
João Marcos do Ã, Jaqueline de Lima, Márcio Santos
We establish a rigidity theorem for annular sector-like domains in the setting of overdetermined elliptic problems on model Riemannian manifolds. Specifically, if such a domain adm…
math.DG2025
Rigidity of Serrin-type problems via integral identities
Jaqueline de Lima, Márcio Santos, Joyce Sindeaux
In this short note, we deal with Serrin-type problems in Riemannian manifolds. Firstly, we provide a Soap Bubble type theorem and rigidity results. In another direction, we obtain…