306 citations
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8 papers · 1 filter
Asymptotics of ODE's flows everywhere or almost-everywhere in the torus:from rotation sets to homogenization of transport equations
Marc Briane, Loïc Hervé
In this paper, we study various aspects of the ODE's flow solution to the equation , in the -dimensional torus , where is a…
Homogenization of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients
Marc Briane, J Casado-Díaz, M Luna-Laynez +1
The present paper deals with the asymptotic behavior of equi-coercive sequences of nonlinear functionals defined over vector-valued functions in $W_)^{1,p}(Ω)^M…
Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term
Giulio Galise, Shigeaki Koike, Olivier Ley +1
In this paper we consider second order fully nonlinear operators with an additive superlinear gradient term. Like in the pioneering paper of Brezis for the semilinear case, we obta…
Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems
Olivier Ley, Vinh Duc Nguyen
We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a super…
Regularity Results and Large Time Behavior for Integro-Differential Equations with Coercive Hamiltonians
Guy Barles, Shigeaki Koike, Olivier Ley +1
In this paper we obtain regularity results for elliptic integro-differential equations driven by the stronger effect of coercive gradient terms. This feature allows us to construct…
Magneto-resistance in three-dimensional composites
Marc Briane, Laurent Pater
In this paper we study the magneto-resistance, i.e. the second-order term of the resistivity perturbed by a low magnetic field, of a three-dimensional composite material. Extending…