1 citations · 1 across the 3 of their papers we have counts for
4 papers
Serrin-type problem in divergence form on Riemannian manifolds
Márcio Batista, Márcio Santos, Antônio da Silva +1
In this paper, we investigate an overdetermined boundary value problem of divergence type on bounded domains in Riemannian manifolds with non-negative Ricci curvature. Using integr…
Scaling, Fractal Dynamics and Critical Exponents: Application in a non-integer dimensional Ising model
Henrique A. de Lima, Ismael S. S. Carrasco, Marcio Santos +1
Moving beyond simple associations, researchers need tools to quantify how variables influence each other in space and time. Correlation functions provide a mathematical framework f…
Overdetermined elliptic problems on model Riemannian manifolds
João Marcos do Ó, 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…
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…