3 papers
math.AP2026
Sharp asymptotic behaviour of symmetric and non-symmetric solutions of the Heat Equation in the Hyperbolic Space
José Alfredo Cañizo, Alejandro Gárriz, Diego Alfonso MarÃn
In this work we study the large-time behaviour of solutions of the Heat Equation in the hyperbolic space , providing precise speeds of convergence in and $L^\in…
math.DG2026
Comparison methods for semilinear elliptic problems on Riemannian manifolds with a Ricci lower bound
José M. Espinar, Fernán González-Ibáñez, Diego A. MarÃn
In the first part of the article we develop a comparison method for positive solutions of the semilinear Dirichlet problem on domains of a Rie…
math.AP2026
On the Dirichlet boundary value problem on Cartan-Hadamard manifolds
Marcos P. Cavalcante, José M. Espinar, Diego A. MarÃn
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…