Enviaments recents

  • Isoperimetric, Sobolev, and eigenvalue inequalities via the Alexandroff-Bakelman-Pucci method: A survey 

    Cabré Vilagut, Xavier (2017-01-05)
    Article
    Accés restringit per política de l'editorial
    This paper presents the proof of several inequalities by using the technique introduced by Alexandroff, Bakelman, and Pucci to establish their ABP estimate. First, the author gives a new and simple proof of a lower bound ...
  • Sharp isoperimetric inequalities via the ABP 

    Cabré Vilagut, Xavier; Ros-Oton, Xavier; Serra, Joaquim (2016-01-01)
    Article
    Accés obert
    Given an arbitrary convex cone of Rn, we find a geometric class of homogeneous weights for which balls centered at the origin and intersected with the cone are minimizers of the weighted isoperimetric problem in the convex ...
  • Simple inflationary quintessential model. II. Power law potentials 

    Haro Cases, Jaume; Amorós Torrent, Jaume; Pan, Supriya (American Physical Society, 2016-09-21)
    Article
    Accés obert
    The present work is a sequel of our previous work [Phys. Rev. D 93, 084018 (2016)] which depicted a simple version of an inflationary quintessential model whose inflationary stage was described by a Higgs-type potential ...
  • Bouncing cosmologies in geometries with positively curved spatial sections 

    Haro Cases, Jaume (Elsevier, 2016-09-10)
    Article
    Accés obert
    Background bouncing cosmologies, driven by a single scalar field, having a quasi-matter domination period during the contracting phase, i.e., depicting the so-called Matter Bounce Scenario, are reconstructed for cosmologies ...
  • Inflation and late-time acceleration from a double-well potential with cosmological constant 

    Haro Cases, Jaume; Elizalde, Emilio (2016-06-01)
    Article
    Accés restringit per política de l'editorial
    A model of a universe without big bang singularity is presented, which displays an early inflationary period ending just before a phase transition to a kination epoch. The model produces enough heavy particles so as to ...
  • Simple inflationary quintessential model 

    Haro Cases, Jaume; Amorós Torrent, Jaume; Pan, Supriya (2016-04-12)
    Article
    Accés obert
    In the framework of a flat Friedmann-Lemaitre-Robertson-Walker geometry, we present a nongeodesically past complete model of our Universe without the big bang singularity at finite cosmic time, describing its evolution ...
  • Viability of the matter bounce scenario in F(T) gravity and Loop Quantum Cosmology forgeneral potentials 

    Haro Cases, Jaume; Amorós Torrent, Jaume (2014-12-01)
    Article
    Accés obert
    We consider the matter bounce scenario in F (T) gravity and Loop Quantum Cosmology (LQC) for phenomenological potentials that at early times provide a nearly matter dominated Universe in the contracting phase, having a ...
  • How can holonomy corrections be introduced in f(R) gravity? 

    Haro Cases, Jaume (2014-07-08)
    Article
    Accés obert
    We study the introduction of holonomy corrections in f(R) gravity. We will show that there are infinitely many ways, as many as canonical transformations, to introduce this kind of corrections, depending on the canonical ...
  • Instability of stationary solutions of reaction-diffusion-equations on graphs 

    Von Below, Joachim; Lubary Martínez, José Antonio (2015-09-01)
    Article
    Accés restringit per política de l'editorial
    The nonexistence of stable stationary nonconstant solutions of reaction-diffusion-equations partial derivative(t)u(j) = partial derivative(j)(a(j)(x(j))partial derivative(j)u(j)) + f(j)(u(j)) on the edges of a finite ...
  • Recent applications of Nirenberg’s classical ideas 

    Sormani, Christina; Cabré Vilagut, Xavier (2016-02-01)
    Article
    Accés obert

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