L. Véron

activity

20062021

most citedElliptic Equations Involving Meausres

53 citations · 183 across the 67 of their papers we have counts for

collaborators

Showing 2010Show all

5 papers · 1 filter

math.AP2010

Capacitary estimates of solutions of semilinear parabolic equations

Moshe Marcus, Laurent Veron

We prove that any positive solution of $ \prt_tu-Δu+u^q=0$ ( $q > 1$ ) in $\BBR^N\ti(0,\infty)$ with initial trace $(F, 0)$ , where $F$ is a closed subset of $\BBR^N$ can be estimated fr…

math.AP2010★ 1 cited

Boundary Trace of Positive Solutions of Semilinear Elliptic Equations in Lipschitz Domains: The Subcritical Case

Moshe Marcus, Laurent Veron

We study the generalized boundary value problem for nonnegative solutions of of $- Δ u + g (u) = 0$ in a bounded Lipschitz domain $Ω$ , when $g$ is continuous and nondecreasing. Using the…

math.AP2010

Boundary value problems with measures for elliptic equations with singular potentials

Laurent Veron, Cecilia Yarur

We study the boundary value problem with Radon measures for nonnegative solutions of $L_{V} u := - Δ u + V u = 0$ in a bounded smooth domain $\Gw$, when $V$ is a locally bounded nonnegative fu…

math.AP2010

Boundary Value Problems with Measures for Elliptic Equations with Singular Potentials

Laurent Veron

We study the boundary value problem with Radon measures for nonnegative solutions of $- Δ u + V u = 0$ in a bounded smooth domain $\Gw$, when $V$ is a locally bounded nonnegative function…

math.AP2010

Local and global properties of solutions of heat equation with superlinear absorption

Tai Nguyen Phuoc, Laurent Veron

We study the limit, when $k \to \infty$ of solutions of $u_{t} - Δ u + f (u) = 0$ in $R^{N} \times (0, \infty)$ with initial data $k\gd$, when $f$ is a positive increasing function. We prove that t…