Diego A. Mar'in

collaborators

3 papers

math.AP2024

Extremal domains in $S^{2}$ : Geometric and Analytic methods

José M. Espinar, Diego A. Marín

In this article, we study domains $Ω \subset S^{2}$ that support positive solutions of the overdetermined problem $Δ u + f (u, ∣\nabla u ∣) = 0 in Ω,$ subject to…

math.DG2024

Rigidity results for Serrin's overdetermined problems in Riemannian manifolds

Maria Andrade, Allan Freitas, Diego A. Marín

In this work, we are interested in studying Serrin's overdetermined problems in Riemannian manifolds. For manifolds endowed with a conformal vector field, we prove a Pohozoaev-type…

math.AP2023

An overdetermined eigenvalue problem and the Critical Catenoid conjecture

José M. Espinar, Diego A. Marín

We consider the eigenvalue problem $Δ^{S^{2}} ξ + 2 ξ = 0$ in $Ω$ and $ξ = 0$ along $\partial Ω$ , being $Ω$ the complement of a disjoint and finite union of smooth and bound…

Extremal domains in S2: Geometric and Analytic methods

Rigidity results for Serrin's overdetermined problems in Riemannian manifolds

An overdetermined eigenvalue problem and the Critical Catenoid conjecture

Extremal domains in $S^{2}$ : Geometric and Analytic methods