53 citations · 183 across the 67 of their papers we have counts for
6 papers · 1 filter
Boundary singularities of solutions to elliptic viscous Hamilton-Jacobi equations
Tai Nguyen Phuoc, Laurent Veron
We study the boundary value problem with measures for (E1) $-\Gd u+g(|\nabla u|)=0$ in a bounded domain $\Gw$ in $\BBR^N$, satisfying (E2) $ u=\gm$ on $\prt\Gw$ and prove that if $…
Separable solutions of quasilinear Lane-Emden equations
Alessio Porretta, Laurent Veron
For and , we prove the existence of solutions of $-\Gd_pu=\ge u^q$ in a cone , with vertex 0 and opening , vanishing on $\prt C_S$, under the form…
Propagation of Singularities of Nonlinear Heat Flow in Fissured Media
Andrey Shishkov, Laurent Veron
In this paper we investigate the propagation of singularities in a nonlinear parabolic equation with strong absorption when the absorption potential is strongly degenerate followin…
On the equation with measures as boundary data
Laurent Veron
If is a bounded domain in , we study conditions on a Radon measure on for solving the equation in with on . Th…
A note on the equation
Laurent Veron
If is a bounded domain in , we study conditions on a Radon measure on for solving the equation in with on . Th…
Initial trace of positive solutions of a class of degenerate heat equation with absorption
Tai Nguyen Phuoc, Laurent Veron
We study the initial value problem with unbounded nonnegative functions or measures for the equation $ \prt_tu-\Gd_p u+f(u)=0$ in $\BBR^N\ti(0,\infty)$ where , $\Gd_p u = \tex…