J. Espinar

activity

20052026

most citedHypersurfaces in H^{n+1} and conformally invariant equations: the generalized Christoffel and Nirenberg problems

10 citations · 35 across the 33 of their papers we have counts for

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7 papers · 1 filter

math.AP2026

On the Dirichlet boundary value problem on Cartan-Hadamard manifolds

Marcos P. Cavalcante, José M. Espinar, Diego A. Marín

In this paper, we investigate the Dirichlet boundary value problem on Cartan-Hadamard manifolds, focusing on the non-existence of bounded (viscosity) solutions to semi-linear ellip…

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.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…

math.AP2016

Characterization of $f$ -extremal disks

José M. Espinar, Laurent Mazet

We show uniqueness for overdetermined elliptic problems defined on topological disks $Ω$ with $C^{2}$ boundary, i.e., positive solutions $u$ to $Δ u + f (u) = 0$ in $Ω \subset (M^{2}, g)$ so…

math.AP2016★ 1 cited

Escobar's Type Theorems for elliptic fully nonlinear degenerate equations

D. P. Abanto, J. M. Espinar

In this paper we prove non-existence and classification results for elliptic fully nonlinear elliptic degenerate conformal equations on certain subdomains of the sphere with prescr…

math.AP2015

$f$ -extremal domains in hyperbolic space

José M. Espinar, Alberto Farina, Laurent Mazet

In this paper we study the geometry and the topology of unbounded domains in the Hyperbolic Space $H^{n}$ supporting a bounded positive solution to an overdetermined ellipt…