53 citations · 183 across the 67 of their papers we have counts for
4 papers · 1 filter
Separable p-harmonic functions in a cone and related quasilinear equations on manifolds
Alessio Porretta, Laurent Veron
In considering a class of quasilinear elliptic equations on a Riemannian manifold with nonnegative Ricci curvature, we give a new proof of Tolksdorf's result on the construction of…
Capacitary estimates of solutions of semilinear parabolic equations
Moshe Marcus, Laurent Veron
We prove an almoste representation formula for positive solutions of semilinear heat equations with power-type absorption the initial trace of which is the indicatrix function of a…
Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption
Andrey Shishkov, Laurent Veron
We study the limit behaviour of solutions of a class of solutions of nonlinear parabolic equations with a degenerate strong absorption. We prove that two types of phenomena can occ…
Separable solutions of some quasilinear equations with source reaction
Marie-Francoise Bidaut-Veron, Mustapha Jazar, Laurent Veron
We study the existence of singular separable solutions to a class of quasilinear equations with reaction term. In the 2-dim case, we use a dynamical system approach to construct ou…