Browsing by Author "González Nogueras, María del Mar"

Gamma convergence of an energy functional related to the fractional Laplacian
González Nogueras, María del Mar (2009)
Article
Restricted access  publisher's policyWe prove a Γ convergence result for an energy functional related to some fractional powers of the Laplacian operator, (−Δ)s for 1/2 < s < 1, with two singular perturbations, that leads to a twophase problem. The case ... 
Instability and bifurcation in a trend depending price formation model
González Nogueras, María del Mar; Gualdani, Maria Pia; SolàMorales Rubió, Joan de (201608)
Article
Open AccessA wellknown model due to J.M. Lasry and P.L. Lions that presents the evolution of prices in a market as the evolution of a free boundary in a diffusion equation is modified in order to show instabilities for some values ... 
Layer solutions for the fractional Laplacian on hyperbolic space
González Nogueras, María del Mar (2013)
Conference report
Open AccessThe workshop dealt with partial differential equations in ge om etry and technical applications. The main topics were the co mbination of nonlinear partial differential equations and geometric pro blems, and fourth order ... 
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties
González Nogueras, María del Mar; Saéz, Mariel; Sire, Yannick (201212)
External research report
Open Accesswhere (¿ Hn) corresponds to the fractional Laplacian on hyperbolic space for 2 (0; 1) and f is a smooth nonlinearity that typically comes from a double well potential. We prove the existence of heteroclinic connections ... 
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties
González Nogueras, María del Mar; Saéz, Mariel; Sire, Yannick (20141201)
Article
Restricted access  publisher's policyWe investigate the equation; (Delta(Hn))(gamma) w = f(w) in Hn,; where (Delta(Hn))(gamma) corresponds to the fractional Laplacian on hyperbolic space for gamma is an element of(0, 1) and f is a smooth nonlinearity that ... 
Renormalized weighted volume for the conformal fractional Laplacian
González Nogueras, María del Mar (201107)
External research report
Open AccessWe give a notion of renormalized weighted volume in the setting of conformal geometry following the ideas of FeffermanGraham. Indeed, it is a precise term in the asymptotic expansion near the boundary for a weighted ... 
Singularities for a fully nonlinear elliptic equation in conformal geometry
González Nogueras, María del Mar; Mazzieri, Lorenzo (201308)
External research report
Open AccessWe construct some radially symmetric solutions of the constant k equation on R n n R p , which blow up exactly at the submanifold R p R n . These are the basic models to the problem of nding complete metrics ... 
Singularities for a fully nonlinear elliptic equation in conformal geometry
González Nogueras, María del Mar; Mazzieri, Lorenzo (2014)
Article
Open Access 
Slow motion of particle systems as a limit of a reactiondiffusion equation with fractional Laplacian
González Nogueras, María del Mar; Monneau, R. (201007)
External research report
Open AccessWe consider a reactiondiffusion equation with a halfLaplacian. In the case where the solution is independent on time, the model reduces to the PeierlsNabarro model describing dislocations as transition layers in a ... 
Some constructions for the fractional Laplacian on noncompact manifolds
Banica, Valeria; González Nogueras, María del Mar; Saéz, Mariel (20150101)
Article
Open AccessWe give a definition of the fractional Laplacian on some noncompact manifolds, through an extension problem introduced by CaffarelliSilvestre. While this definition in the compact case is straightforward, in the noncompact ... 
Some constructions for the fractional Laplacian on noncompact manifolds
Banica, Valeria; González Nogueras, María del Mar; Sáez, Mariel (201212)
External research report
Open AccessWe give a de nition of the fractional Laplacian on some noncompact manifolds, through an extension problem introduced by Ca arelliSilvestre. While this de nition in the compact case is straightforward, in the noncompact ... 
Some nonstandard sobolev spaces, interpolation and its application to PDE
González Nogueras, María del Mar; Gualdani, Maria (201210)
Article
Restricted access  publisher's policyWe consider some nonstandard Sobolev spaces in one dimension, in which functions have different regularity in different subsets. These spaces are useful in the study of some nonlinear parabolic equations where the ... 
Some nonstandard Sobolev spaces, interpolation and its application to PDE
González Nogueras, María del Mar; Gualdani, Maria (200906)
External research report
Open AccessWe consider some nonstandard Sobolev spaces in one dimension, in which functions have different regularity in different subsets. Those spaces are useful in the study of some nonlinear elliptic and parabolic equations where ...