Now showing items 13-24 of 81

    • Shell interactions for Dirac operators: on the point spectrum and the confinement 

      Arrizabalaga, Naiara; Mas Blesa, Albert; Vega, Luis (2015-03-10)
      Article
      Open Access
      Spectral properties and the confinement phenomenon for the couplingH+Varestudied, whereH=-ia·¿+mßis the free Dirac operator inR3andVis a measure-valuedpotential. The potentialsVunder consideration are given in terms of ...
    • A new proof of the boundedness results for stable solutions to semilinear elliptic equations 

      Cabré Vilagut, Xavier (American Institute of Mathematical Sciences, 2019-12-01)
      Article
      Open Access
      We consider the class of stable solutions to semilinear equations -¿u=f(u) in a bounded smooth domain of Rn. Since 2010 an interior a priori L8 bound for stable solutions is known to hold in dimensions n=4 for all C1 ...
    • An example on Lyapunov stability and linearization 

      Munhoz Rodrigues, Hildebrando; Solà-Morales Rubió, Joan de (2020-01-01)
      Article
      Restricted access - publisher's policy
      The purpose of this paper is to present an example of a (in the Fréchet sense) discrete dynamical system in a infinite-dimensional separable Hilbert space for which the origin is an exponentially asymptotically stable ...
    • Harmonic functions on metric graphs under the anti-Kirchhoff law 

      Von Below, Joachim; Lubary Martínez, José Antonio (2019-03-01)
      Article
      Open Access
      When does an infinite metric graph allow nonconstant bounded harmonic functions under the anti-Kirchhoff transition law? We give a complete answer to this question in the cases where Liouville’s theorem holds, for trees, ...
    • Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology 

      Haro Cases, Jaume; Aresté Saló, Llibert; Pan, Supriya (2019-04-01)
      Article
      Open Access
      Considering as usual that the underlying geometry of our universe is well described by the spatially flat Friedmann–Lemaître–Robertson–Walker line element, we review how the background of holonomy corrected Loop Quantum ...
    • Cosmological solutions in spatially curved universes with adiabatic particle production 

      Aresté Saló, Llibert; Haro Cases, Jaume (2017-02-20)
      Article
      Open Access
      We perform a qualitative and thermodynamic study of two models when one takes into account adiabatic particle production. In the first one, there is a constant particle production rate, which leads to solutions depicting ...
    • The MIT Bag Model as an infinite mass limit 

      Arrizabalaga, Naiara; Mas Blesa, Albert (Cellule MathDoc/CEDRAM, 2019-06-12)
      Article
      Open Access
    • Klein's paradox and the relativistic d-shell interaction in R3 

      Mas Blesa, Albert (Mathematical Sciences Publishers, 2017-12-20)
      Article
      Open Access
      Under certain hypotheses of smallness on the regular potential V, we prove that the Dirac operator in Unexpected text node: 'R', coupled with a suitable rescaling of V, converges in the strong resolvent sense to the ...
    • The relativistic spherical d-shell interaction in R3: Spectrum and approximation 

      Mas Blesa, Albert (2017-08-30)
      Article
      Open Access
      This note revolves on the free Dirac operator in R3 and its d-shell interaction with electrostatic potentials supported on a sphere. On one hand, we characterize the eigenstates of those couplings by finding sharp constants ...
    • The Peebles–Vilenkin quintessential inflation model revisited 

      Haro Cases, Jaume; Amorós Torrent, Jaume; Pan, Supriya (springer-Verlag, 2019-06-01)
      Article
      Open Access
      We review the well-known Peebles–Vilenkin (PV) quintessential inflation model and discuss its possible improvements in agreement with the recent observations. The improved PV model depends only on two parameters: the ...
    • Stable s-minimal cones in R 3 are flat for s ~ 1 

      Cabré Vilagut, Xavier; Cinti, Eleonora; Serra, Joaquim (2019-01-01)
      Article
      Open Access
      We prove that half spaces are the only stable nonlocal s-minimal cones in R3, for s¿(0,1) sufficiently close to 1. This is the first classification result of stable s-minimal cones in dimension higher than two. Its proof ...
    • A gradient estimate for nonlocal minimal graphs 

      Cabré Vilagut, Xavier; Cozzi, Matteo (2019-04-01)
      Article
      Open Access
      We consider the class of measurable functions defined in all of Rn that give rise to a nonlocal minimal graph over a ball of Rn. We establish that the gradient of any such function is bounded in the interior of the ball ...