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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • ANÀLISI FUNCIONAL 

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

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

      González Nogueras, María del Mar (Universitat Politècnica de Catalunya, 2012-03-19)
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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, 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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    • 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 (2010-03)
      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.
    • 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.
    • 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 ...