EDP  Equacions en Derivades Parcials i Aplicacions: Recent submissions
Now showing items 1324 of 81

Shell interactions for Dirac operators: on the point spectrum and the confinement
(20150310)
Article
Open AccessSpectral properties and the confinement phenomenon for the couplingH+Varestudied, whereH=ia·¿+mßis the free Dirac operator inR3andVis a measurevaluedpotential. The potentialsVunder consideration are given in terms of ... 
A new proof of the boundedness results for stable solutions to semilinear elliptic equations
(American Institute of Mathematical Sciences, 20191201)
Article
Open AccessWe 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
(20200101)
Article
Restricted access  publisher's policyThe purpose of this paper is to present an example of a (in the Fréchet sense) discrete dynamical system in a infinitedimensional separable Hilbert space for which the origin is an exponentially asymptotically stable ... 
Harmonic functions on metric graphs under the antiKirchhoff law
(20190301)
Article
Open AccessWhen does an infinite metric graph allow nonconstant bounded harmonic functions under the antiKirchhoff 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
(20190401)
Article
Open AccessConsidering 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
(20170220)
Article
Open AccessWe 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
(Cellule MathDoc/CEDRAM, 20190612)
Article
Open Access 
Klein's paradox and the relativistic dshell interaction in R3
(Mathematical Sciences Publishers, 20171220)
Article
Open AccessUnder 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 dshell interaction in R3: Spectrum and approximation
(20170830)
Article
Open AccessThis note revolves on the free Dirac operator in R3 and its dshell 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
(springerVerlag, 20190601)
Article
Open AccessWe review the wellknown 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 sminimal cones in R 3 are flat for s ~ 1
(20190101)
Article
Open AccessWe prove that half spaces are the only stable nonlocal sminimal cones in R3, for s¿(0,1) sufficiently close to 1. This is the first classification result of stable sminimal cones in dimension higher than two. Its proof ... 
A gradient estimate for nonlocal minimal graphs
(20190401)
Article
Open AccessWe 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 ...