Exploració per autor "González Nogueras, María del Mar"
Ara es mostren els items 15-33 de 33
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Fracional Laplacian in conformal geometry
(2010-03)
Report de recerca
Accés obertIn this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Ca arelli-Silvestre and a class of conformally covariant operators in conformal geometry. -
Fracional Laplacian in conformal geometry
(2010-04)
Article
Accés restringit per decisió de l'autorIn this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Ca arelli-Silvestre and a class of conformally covariantoperators in conformal geometry. -
Fractional conformal Laplacians and fractional Yamabe problems
(2010-12)
Report de recerca
Accés obertBased on the relations between scattering operators of asymptotically hyperbolic metrics and Dirichlet-to-Neumann operators of uniformly degenerate elliptic boundary value problems observed in [11], we formulate fractional ... -
Fractional Laplacian in conformal geometry
(2011-01-30)
Article
Accés restringit per política de l'editorialIn this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli and Silvestre and a class of conformally covariant operators in conformal geometry. -
Fractional laplacian in conformal geometry
(2009-12-07)
Presentació
Accés obert -
Further results on the fractional Yamabe problem: the umbilic case
(2014)
Report de recerca
Accés obertWe 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 Gonz alez and Qing. These are inspired ... -
Gamma convergence of an energy functional related to the fractional Laplacian
(2009)
Article
Accés restringit per política de l'editorialWe 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 two-phase problem. The case ... -
Instability and bifurcation in a trend depending price formation model
(2016-08)
Article
Accés obertA well-known 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
(2013)
Text en actes de congrés
Accés obertThe 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
(2012-12)
Report de recerca
Accés obertwhere (¿ 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
(2014-12-01)
Article
Accés restringit per política de l'editorialWe investigate the equation; (-Delta(Hn))(gamma) w = f(w) in H-n,; 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
(2011-07)
Report de recerca
Accés obertWe give a notion of renormalized weighted volume in the setting of conformal geometry following the ideas of Fefferman-Graham. Indeed, it is a precise term in the asymptotic expansion near the boundary for a weighted ... -
Singularities for a fully non-linear elliptic equation in conformal geometry
(2013-08)
Report de recerca
Accés obertWe 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 non-linear elliptic equation in conformal geometry
(2014)
Article
Accés obert -
Slow motion of particle systems as a limit of a reaction-diffusion equation with fractional Laplacian
(2010-07)
Report de recerca
Accés obertWe consider a reaction-diffusion equation with a half-Laplacian. In the case where the solution is independent on time, the model reduces to the Peierls-Nabarro model describing dislocations as transition layers in a ... -
Some constructions for the fractional Laplacian on noncompact manifolds
(2015-01-01)
Article
Accés obertWe give a definition of the fractional Laplacian on some noncompact manifolds, through an extension problem introduced by Caffarelli-Silvestre. While this definition in the compact case is straightforward, in the noncompact ... -
Some constructions for the fractional Laplacian on noncompact manifolds
(2012-12)
Report de recerca
Accés obertWe give a de nition of the fractional Laplacian on some noncompact manifolds, through an extension problem introduced by Ca arelli-Silvestre. While this de nition in the compact case is straightforward, in the noncompact ... -
Some non-standard sobolev spaces, interpolation and its application to PDE
(2012-10)
Article
Accés restringit per política de l'editorialWe 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 non-standard Sobolev spaces, interpolation and its application to PDE
(2009-06)
Report de recerca
Accés obertWe 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 ...
