11 citations · 12 across the 7 of their papers we have counts for
7 papers
The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in dimension one
Maria del Mar Gonzalez, Ali Hyder, Mariel Saez
In this paper we study the fractional Caffarelli-Kohn-Nirenberg inequality (CKN) in one dimension when the parameter converges (from the left) to its critical value , obta…
Uniqueness of entire graphs evolving by Mean Curvature flow
Panagiota Daskalopoulos, Mariel Saez
In this paper we study the uniqueness of graphical mean curvature flow. We consider as initial conditions graphs of locally Lipschitz functions and prove that in the one dimensiona…
Eigenvalue bounds for the Paneitz operator and its associated third-order boundary operator on locally conformally flat manifolds
Maria del Mar Gonzalez, Mariel Saez
In this paper we study bounds for the first eigenvalue of the Paneitz operator and its associated third-order boundary operator on four-manifolds. We restrict to orientab…
Short-time existence for the network flow
Jorge Lira, Rafe Mazzeo, Alessandra Pluda +1
This paper contains a new proof of the short-time existence for the flow by curvature of a network of curves in the plane. Appearing initially in metallurgy and as a model for the…
Fractional Laplacians and extension problems: the higher rank case
Maria del Mar Gonzalez, Mariel Saez
The aim of this paper is two-fold: first, we look at the fractional Laplacian and the conformal fractional Laplacian from the general framework of representation theory on symmetri…
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties
María del Mar González, Mariel Sáez, Yannick Sire
We investigate the equation where corresponds to the fractional Laplacian on hyperbolic space for $γ\i…
Self similar expanding solutions of the planar network flow
Rafe Mazzeo, Mariel Saez
We prove the existence of self-similar expanding solutions of the curvature flow on planar networks where the initial configuration is any number of half-lines meeting at the origi…