23 citations · 43 across the 9 of their papers we have counts for
7 papers · 1 filter
Concentration phenomena for the fractional -curvature equation in dimension 3 and fractional Poisson formulas
Azahara DelaTorre, Maria del Mar Gonzalez, Ali Hyder +1
We study the compactness properties of metrics of prescribed fractional -curvature of order in . We will use an approach inspired from conformal geometry, seeing a met…
Bound state solutions for the supercritical fractional Schrödinger equation
Weiwei Ao, Hardy Chan, Maria del Mar Gonzalez +1
We prove the existence of positive solutions for the supercritical nonlinear fractional Schrödinger equation in , with as $|x|\to +\…
Existence and uniqueness to a fully non-linear version of the Loewner-Nirenberg problem
Maria del Mar González, YanYan Li, Luc Nguyen
We consider the problem of finding on a given Euclidean domain of dimension a complete conformally flat metric whose Schouten curvature satisfies some equation o…
Further results on the fractional Yamabe problem: the umbilic case
Maria del Mar Gonzalez, Meng Wang
We prove some existence results for the fractional Yamabe problem in the case that the boundary manifold is umbilic, thus covering some of the cases not considered by Gonzalez and…
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…
Global existence and uniqueness of solutions to a model of price formation
Lincoln Chayes, Maria del Mar Gonzalez, Maria Pia Gualdani +1
We study a model due to J.M. Lasry and P.L. Lions, describing the evolution of a scalar price which is realized as a free boundary in a 1-D diffusion equation with dynamically evol…