3 papers
math.AP2026
A geometric approach to nonlocal 2-Hessian equations
Fernando Charro, María del Mar González, María Soria-Carro
We study a nonlocal 2-Hessian equation, given by an infimum of linear deformations of the fractional Laplacian, that is, . We characterize…
math.AP2026
Traveling-wave behavior for Fisher-KPP equations in the hyperbolic space
María del Mar González, Irene Gonzálvez, Fernando Quirós
We study the Cauchy problem in the hyperbolic space for the heat equation with a Fisher-KPP type forcing term. Depending on the relative strength of diffusion, measured by the infi…
math.DG2024
A gluing construction of singular solutions for a fully non-linear equation in conformal geometry
María Fernanda Espinal, María del Mar González
In this paper we study the --Yamabe equation, , for solutions with a prescribed singular set given by a disjoint union of closed submanifolds whose dimension is posit…