Ara es mostren els items 1-20 de 26

  • A discrete bernoulli free boundary problem 

    González Nogueras, María del Mar; Gualdani, Maria; Shagholian, Henrick (2012-04)
    Report de recerca
    Accés obert
    We consider a free boundary problem for the p-Laplace operator which is related to the so-called Bernoulli free boundary problem. In this formulation, the classical boundary gradient condition is replaced by a condition ...
  • A perturbation argument for a Monge-Ampere type equation arising in optimal transportation 

    González Nogueras, María del Mar; Caffarelli, Luis; Nguyen, Truyen (2011-11)
    Report de recerca
    Accés obert
    We prove some asymptotic interior regularity results for potential functions of optimal transportation problems with power costs. We show that our problems are equivalent to optimal transportation problems whose cost ...
  • A Perturbation argument for a Monge–Ampère type equation arising in optimal transportation 

    Caffarelli, Luis; González Nogueras, María del Mar; Nguyen, Truyen (2014-05-01)
    Article
    Accés restringit per política de l'editorial
    We prove some interior regularity results for potential functions of optimal transportation problems with power costs. The main point is that our problem is equivalent to a new optimal transportation problem whose cost ...
  • An extension problem for the CR fractional Laplacian 

    Frank, Rupert L.; González Nogueras, María del Mar; Monticelli, Dario D.; Tan, Jinggang (2015-01-01)
    Article
    Accés obert
    We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace. Remarkably, this ...
  • An extension problem for the CR fractional Laplacian 

    Frank, Rupert L.; González Nogueras, María del Mar; Monticelli, Dario D.; Tan, Jinggang (2013-12)
    Report de recerca
    Accés obert
    We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace. Remarkably, this ...
  • Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations 

    González Nogueras, María del Mar; Fang, Yi (2014)
    Report de recerca
    Accés obert
    In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional Yamabe type equations on an asymptotically hyperbolic Riemannian manifold. We prove that Palais-Smale sequences ...
  • Asymptotic behavior of palais-smale sequences associated with fractional yamabe-type equations 

    Fang, Yi; González Nogueras, María del Mar (2015-12-01)
    Article
    Accés obert
    In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional Yamabe-type equations on an asymptotically hyperbolic Riemannian manifold. We prove that Palais-Smale sequences can be ...
  • Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience 

    Carrillo, José A.; González Nogueras, María del Mar; Gualdani, Maria; Schonbek, Maria E. (2011-08)
    Report de recerca
    Accés obert
    In this paper we analyze the global existence of classical solutions to the initial boundaryvalue problem for a nonlinear parabolic equation describing the collective behavior of an ensemble of neurons. These equations ...
  • Fracional Laplacian in conformal geometry 

    González Nogueras, María del Mar; Chang, Sun-Yung Alice (2010-03)
    Report de recerca
    Accés obert
    In 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 

    González Nogueras, María del Mar; Chang, Sun-Yung Alice (2010-04)
    Article
    Accés restringit per decisió de l'autor
    In 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 

    González Nogueras, María del Mar; Qing, Jie (2010-12)
    Report de recerca
    Accés obert
    Based 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 

    González Nogueras, María del Mar; Chang, Sun-Yung Alice (2011-01-30)
    Article
    Accés restringit per política de l'editorial
    In 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 

    González Nogueras, María del Mar (2009-12-07)
    Presentació
    Accés obert
  • Further results on the fractional Yamabe problem: the umbilic case 

    González Nogueras, María del Mar (2014)
    Report de recerca
    Accés obert
    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 Gonz alez and Qing. These are inspired ...
  • Gamma convergence of an energy functional related to the fractional Laplacian 

    González Nogueras, María del Mar (2009)
    Article
    Accés restringit per política de l'editorial
    We 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 ...
  • Layer solutions for the fractional Laplacian on hyperbolic space 

    González Nogueras, María del Mar (2013)
    Text en actes de congrés
    Accés obert
    The 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 (2012-12)
    Report de recerca
    Accés obert
    where (¿ 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 (2014-12-01)
    Article
    Accés restringit per política de l'editorial
    We 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 

    González Nogueras, María del Mar (2011-07)
    Report de recerca
    Accés obert
    We 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 

    González Nogueras, María del Mar; Mazzieri, Lorenzo (2013-08)
    Report de recerca
    Accés obert
    We 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 ...