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Quintessential inflation and cosmological seesaw mechanism: reheating and observational constraints
(202107)
Article
Restricted access  publisher's policyRecently a new kind of quintessential inflation coming from the Lorentzian distribution has been introduced in [1,2]. The model leads to a very simple potential, which basically depends on two parameters, belonging to the ... 
Discrepancy of minimal riesz energy points
(Springer Nature, 20210408)
Article
Restricted access  publisher's policyWe find upper bounds for the spherical cap discrepancy of the set of minimizers of the Riesz senergy on the sphere Sd. Our results are based on bounds for a Sobolev discrepancy introduced by Thomas Wolff in an unpublished ... 
aattractors in quintessential inflation motivated by supergravity
(American Physical Society, 20210615)
Article
Open AccessAn exponential kind of quintessential inflation potential motivated by supergravity is studied. This type belongs to the class of aattractor models. The model was studied for the first time by Dimopoulos and Owen in [J. ... 
Theoretical and observational bounds on some interacting vacuum energy scenarios
(American Physical Society, 20210415)
Article
Open AccessThe dynamics of interacting dark matterdark energy models is characterized through an interaction rate function quantifying the energy flow between these dark sectors. In most of the interaction functions, the expansion ... 
Nearsphere lattices with constant nonlocal mean curvature
(201804)
Article
Open AccessWe are concerned with unbounded sets of RN whose boundary has constant nonlocal (or fractional) mean curvature, which we call CNMC sets. This is the equation associated to critical points of the fractional perimeter ... 
Discrepancies between observational data and theoretical forecast in single field slow roll inflation
(20160909)
Article
Open AccessThe PLANCK collaboration has determined, or greatly constrained, values for the spectral parameters of the CMB radiation, namely the spectral index ns, its running as, the running of the running ßs, using a growing body ... 
Optimal regularity of stable solutions to nonlinear equations involving the pLaplacian
(20200101)
Article
Open AccessWe consider the equation¿pu=f(u)in a smooth bounded domain ofRn, where¿pis thepLaplaceoperator. Explicit examples of unbounded stable energy solutions are known ifn=p+4pp1. Instead, whenn<p+4pp1, stable solutions have ... 
Stability problems in nonautonomous linear differential equations in infinite dimensions
(20200601)
Article
Open AccessIn this paper we study the robustness of the stability in nonautonomous linear ordinary differential equations under integrally small perturbations in infinite dimensional Banach spaces. Some applications are obtained to ... 
Quintessential inflation for exponential type potentials: scaling and tracker behavior
(springerVerlag, 202102)
Article
Open AccessWe will show that for exponential type potentials of the form V(f)~e¿fn/Mnpl, which are used to depict quintessential inflation, the solutions whose initial conditions take place during the slow roll phase in order to ... 
Calibrations and nullLagrangians for nonlocal perimeters and an application to the viscosity theory
(20200204)
Article
Restricted access  confidentiality agreementFor nonnegative even kernels K, we consider the Knonlocal perimeter functional acting on sets. Assuming the existence of a foliation of space made of solutions of the associated Knonlocal mean curvature equation in an ... 
Selfadjoint Dirac operators on domains in R3
(20200620)
Article
Open AccessIn this paper, the spectral and scattering properties of a family of selfadjoint Dirac operators in L2(O;C4), where O¿R3 is either a bounded or an unbounded domain with a compact C2smooth boundary, are studied in a ... 
Stable solutions to semilinear elliptic equations are smooth up to dimension 9
(20200101)
Article
Open AccessIn this paper we prove the following longstanding conjecture: stable solutions to semilinear elliptic equations are bounded (and thus smooth) in dimension n¿9. This result, that was only known to be true for n¿4 , is ...