Now showing items 1-20 of 33

  • A discrete bernoulli free boundary problem 

    González Nogueras, María del Mar; Gualdani, Maria; Shagholian, Henrick (2012-04)
    External research report
    Open Access
    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 ...
  • ANÀLISI FUNCIONAL 

    González Nogueras, María del Mar (Universitat Politècnica de Catalunya, 2012-06-06)
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  • ANÀLISI FUNCIONAL 

    González Nogueras, María del Mar (Universitat Politècnica de Catalunya, 2013-03-24)
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  • ANÀLISI REAL 

    González Nogueras, María del Mar (Universitat Politècnica de Catalunya, 2011-06-08)
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  • ANÀLISI REAL 

    González Nogueras, María del Mar (Universitat Politècnica de Catalunya, 2012-05-30)
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  • ANÀLISI REAL 

    González Nogueras, María del Mar (Universitat Politècnica de Catalunya, 2011-04-01)
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  • ANÀLISI REAL 

    González Nogueras, María del Mar (Universitat Politècnica de Catalunya, 2012-03-19)
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  • An extension problem for the CR fractional Laplacian 

    Frank, Rupert L.; González Nogueras, María del Mar; Monticelli, Dario D.; Tan, Jinggang (2013-12)
    External research report
    Open Access
    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 (2015-01-01)
    Article
    Open Access
    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 ...
  • A perturbation argument for a Monge-Ampere type equation arising in optimal transportation 

    González Nogueras, María del Mar; Caffarelli, Luis; Nguyen, Truyen (2011-11)
    External research report
    Open Access
    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
    Restricted access - publisher's policy
    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 ...
  • Asymptotic behavior of Palais-Smale sequences associated with fractional Yamabe type equations 

    González Nogueras, María del Mar; Fang, Yi (2014)
    External research report
    Open Access
    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
    Open Access
    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)
    External research report
    Open Access
    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 (2010-04)
    Article
    Restricted access - author's decision
    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.
  • Fracional Laplacian in conformal geometry 

    González Nogueras, María del Mar; Chang, Sun-Yung Alice (2010-03)
    External research report
    Open Access
    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.
  • Fractional conformal Laplacians and fractional Yamabe problems 

    González Nogueras, María del Mar; Qing, Jie (2010-12)
    External research report
    Open Access
    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
    Restricted access - publisher's policy
    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)
    Lecture
    Open Access
  • Further results on the fractional Yamabe problem: the umbilic case 

    González Nogueras, María del Mar (2014)
    External research report
    Open Access
    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 ...