1 citations · 1 across the 5 of their papers we have counts for
5 papers
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces
Juan Carlos Fernández, Alberto Saldaña
We study the conformal logarithmic Laplacian on the sphere, an explicit singular integral operator that arises as the derivative (with respect to the order parameter) of the confor…
Fractional -curvature on the sphere and optimal partitions
Héctor A. Chang-Lara, Juan Carlos Fernández, Alberto Saldaña
We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional -curvature in terms of the conformal fractional Laplacian on the…
A geometric reduction method for some fully nonlinear first-order PDEs on semi-Riemannian manifolds
Juan Carlos Fernández, Eddaly Guerra-Velasco, Oscar Palmas +1
Given a semi-Riemannian manifold we use the transnormal functions defined on to reduce fully nonlinear first order PDEs of the form \[ F(x,u…
dlordinal: a Python package for deep ordinal classification
Francisco Bérchez-Moreno, Víctor M. Vargas, Rafael Ayllón-Gavilán +4
dlordinal is a new Python library that unifies many recent deep ordinal classification methodologies available in the literature. Developed using PyTorch as underlying framework, i…
Equivariant solutions to the optimal partition problem for the prescribed Q-curvature equation
Juan Carlos Fernández, Oscar Palmas, Jonatán Torres Orozco
We study the optimal partition problem for the prescribed constant -curvature equation induced by the higher order conformal operators under the effect of cohomogeneity one acti…