L. Véron

activity

20062021

most citedElliptic Equations Involving Meausres

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

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Showing 2008Show all

14 papers · 1 filter

math.AP2008★ 53 cited

Elliptic Equations Involving Meausres

Laurent Veron

We present the moste recent results dealing with the theory of semilinear elliptic equations with measures data

math.AP2008

Maximal solutions for $- Δ u + u^{q} = 0$ in open or finely open sets

Moshe Marcus, Laurent Veron

We study the existence and uniqueness of new classes of solutions of the superlinear equation $- Δ u + u^{q} = 0$ (q>1) in a domain of R^N or in a finely open set for the topology associat…

math.AP2008★ 3 cited

Solutions of some nonlinear parabolic equations with initial blow-up

Waad Al Sayed, Laurent Veron

We study the existence and uniqueness of solutions of $\partial_{t} u - Δ u + u^{q} = 0$ ( $q > 1$ ) in $Ω \times (0, \infty)$ where $Ω \subset R^{N}$ is a domain with a compact boundary, subjec…

math.AP2008

On uniqueness of large solutions of nonlinear parabolic equations in nonsmooth domains

Waad Al Sayed, Laurent Veron

We study the existence and uniqueness of the positive solutions of the problem (P): $\partial_{t} u - Δ u + u^{q} = 0$ ( $q > 1$ ) in $Ω \times (0, \infty)$ , $u = \infty$ on $\partialΩ\times (0,\infty…

math.AP2008

Reduced measures associated to parabolic problems

Waad Al Sayed, Mustapha Jazar, Laurent Veron

We study the existence and the properties of the reduced measures for the parabolic equations $\partial_{t} u - Δ u + g (u) = 0$ in $Ω \times (0, \infty)$ subject to the conditions ( $P$ ): $u = 0$ …

math.AP2008

The precise boundary trace of solutions of a class of supercritical nonlinear equations

Moshe Marcus, Laurent Veron

We construct and study the properties of the precise boundary trace of positive solutions of $- Δ u + u^{q} = 0$ in a smooth bounded domain of $R^{N}$ , in the supercritical case $q\g…

Elliptic Equations Involving Meausres

Maximal solutions for −Δu+uq=0 in open or finely open sets

Solutions of some nonlinear parabolic equations with initial blow-up

On uniqueness of large solutions of nonlinear parabolic equations in nonsmooth domains

Reduced measures associated to parabolic problems

The precise boundary trace of solutions of a class of supercritical nonlinear equations

Maximal solutions for $- Δ u + u^{q} = 0$ in open or finely open sets