5 citations · 6 across the 8 of their papers we have counts for
13 papers
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 dynamic model of congestion
Hector Andres Chang-Lara, Sergio David Zapeta-Tzul
We revisit the classic problem of determining optimal routes in a graph for transporting two given distributions defined on its nodes, originally studied by Wardrop and Beckmann in…
A Visual Approach to the Regularity Theory for Fully Nonlinear Elliptic Equations
Héctor A. Chang-Lara
We revisit the regularity theory for uniformly elliptic equations.
Well-posedness for a transmission problem connecting first and second-order operators
Héctor A. Chang-Lara
We establish the existence and uniqueness of viscosity solutions within a domain for a class of equations governed by elliptic and eikonal type equations in…
Classical solutions to integral equations with zero order kernels
Héctor A. Chang-Lara, Alberto Saldaña
We show global and interior higher-order log-Hölder regularity estimates for solutions of Dirichlet integral equations where the operator has a nonintegrable kernel with a singular…
Hölder regularity for non-variational porous media type equations
Héctor A. Chang-Lara, Makson S. Santos
We present a Krylov-Safonov theory approach for the Hölder regularity of viscosity solutions to non-variational porous media type equations. We explore the peculiarity of this type…
Non-convex Hamilton-Jacobi equations with gradient constraints
Héctor A. Chang-Lara, Edgard A. Pimentel
We study non-convex Hamilton-Jacobi equations in the presence of gradient constraints and produce new, optimal, regularity results for the solutions. A distinctive feature of those…
Some free boundary problems recast as nonlocal parabolic equations
Hector A. Chang-Lara, Nestor Guillen, Russell W. Schwab
In this work we demonstrate that a class of some one and two phase free boundary problems can be recast as nonlocal parabolic equations on a submanifold. The canonical examples wou…
Boundary Regularity for the Free Boundary in the One-phase Problem
Hector Chang-Lara, Ovidiu Savin
We consider the Bernoulli one-phase free boundary problem in a domain and show that the free boundary is regular in a neighborhood of the fixed boundary $\parti…
From the free boundary condition for Hele-Shaw to a fractional parabolic equation
Héctor A. Chang-Lara, Nestor Guillen
We propose a method to determine the smoothness of sufficiently flat solutions of one phase Hele-Shaw problems. The novelty is the observation that under a flatness assumption the…
Further time regularity for fully non-linear parabolic equations
Hector Chang-Lara, Dennis Kriventsov
We establish Hölder estimates for the time derivative of solutions of fully non-linear parabolic equations that does not necessarily have estimates.
Hölder estimates for non-local parabolic equations with critical drift
Hector Chang-Lara, Gonzalo Davila
In this paper we extend previous results on the regularity of solutions of integro-differential parabolic equations. The kernels are non necessarily symmetric which could be interp…
Shape Theorems for Poisson Hail on a Bivariate Ground
François Baccelli, Héctor A. Chang-Lara, Sergey Foss
We consider the extension of the Euclidean stochastic geometry Poisson Hail model to the case where the service speed is zero in some subset of the Euclidean space and infinity in…