4 citations · 7 across the 12 of their papers we have counts for
15 papers
Scaling Limit of the Kuramoto Model on Random Geometric Graphs
Francisco Cirelli, Pablo Groisman, Ruojun Huang +1
We consider the Kuramoto model on a graph with nodes given by i.i.d. points uniformly distributed on the dimensional torus. Two nodes are declared neighbors if they are at…
Lipschitz regularity of almost minimizers in a Bernoulli problem with non-standard growth
João Vitor da Silva, Analía Silva, Hernán Vivas
In this work we establish the optimal Lipschitz regularity for non-negative almost minimizers of the one-phase Bernoulli-type functional $$ \mathcal{J}_{\mathrm{G}}(u,Ω) := \int_Ω\…
A PDE approach to the existence and regularity of surfaces of minimum mean curvature variation
L. A. Caffarelli, P. R. Stinga, H. Vivas
We develop an analytic theory of existence and regularity of surfaces (given by graphs) arising from the geometric minimization problem $$\min_{\mathcal{M}}\frac{1}{2}\int_{\mathca…
The Kuramoto model on dynamic random graphs
Pablo Groisman, Ruojun Huang, Hernan Vivas
We propose a Kuramoto model of coupled oscillators on a time-varying graph, whose dynamics is dictated by a Markov process in the space of graphs. The simplest representative is co…
Homogeneous eigenvalue problems in Orlicz-Sobolev spaces
Julian Fernandez Bonder, Ariel Salort, Hernan Vivas
In this article we consider a homogeneous eigenvalue problem ruled by the fractional Laplacian operator whose Euler-Lagrange equation is obtained by minimization of a quotient…
Global Hölder regularity for eigenfunctions of the fractional -Laplacian
Julián Fernández Bonder, Ariel Salort, Hernán Vivas
We establish global Hölder regularity for eigenfunctions of the fractional Laplacian with Dirichlet boundary conditions where and is a Young functions satisfying the…