4 citations · 7 across the 8 of their papers we have counts for
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Boundary trace of positive solutions of semilinear elliptic equations in Lipschitz domains
Moshe Marcus, Laurent Veron
We study the generalized boundary value problem for nonnegative solutions of in a bounded Lipschitz domain $\Gw$, when is continuous and nondecreasing. Using the h…
Maximal solutions for 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 (q>1) in a domain of R^N or in a finely open set for the topology associat…
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 in a smooth bounded domain of , in the supercritical case $q\g…
Maximal solutions of equation u = uq in arbitrary domains
Moshe Marcus, Laurent Veron
We prove bilateral capacitary estimates for the maximal solution of in the complement of an arbitrary closed set , involving the Bessel capac…
Capacitary representations of positive solutions of semilinear parabolic equations
Moshe Marcus, Laurent Veron
We give a global bilateral estimate on the maximal solution of $ \prt_tu-Δu+u^q=0$ in $\BBR^N\times (0,\infty)$, , , which vanishes at on the comple…
Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term
Moshe Marcus, Laurent Veron
We study the existence of a maximal solution of $-\Gd u+g(u)=f(x)$ in a domain $\Gw\subset \BBR^N$ with compact boundary, assuming that $f\in (L^1_{loc}(\Gw))_+$ and that is no…