53 citations · 183 across the 67 of their papers we have counts for
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Boundary singularities of positive solutions of quasilinear Hamilton-Jacobi equations
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Véron
We study the boundary behaviour of the solutions of (E) in a domain , when . We show the existence of a critical ex…
Boundary singularities of solutions of semilinear elliptic equations with critical Hardy potentials
Konstantinos T. Gkikas, Laurent Veron
We study the boundary behaviour of the of (E) $-\Gd u-\myfrac{\xk }{d^2(x)}u+g(u)=0$, where $0<\xk <\frac{1}{4}$ and is a continuous nonndecreasing function in a bounded convex…
Measure boundary value problem for semilinear elliptic equations with critical Hardy potentials
Konstantinos Gkikas, Laurent Veron
Let $Ω\subset\BBR^N$ be a bounded domain and $\CL_\gk=-\Gd-\frac{\gk}{d^2}$ the Hardy operator where $d=\dist (.,\prt\Gw)$ and $0<\gk\leq\frac{1}{4}$. Let $\ga_{\pm}=1\pm\sqr…
Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain
Quoc-Hung Nguyen, Laurent Veron
We obtain a necessary and a sufficient condition expressed in terms of Wiener type tests involving the parabolic - capacity, where , for the existe…
Local and global properties of solutions of quasilinear Hamilton-Jacobi equations
Marie-Françoise Bidaut-Veron, Marta Garcia-Huidobro, Laurent Veron
We study some properties of the solutions of (E) $\;-\Gd_p u+|\nabla u|^q=0$ in a domain $\Gw \sbs \BBR^N$, mostly when . We give a universal priori estimate of the gr…
Fractional heat equations with subcritical absorption having a measure as initial data
Huyuan Chen, Laurent Veron, Ying Wang
We study existence and uniqueness of weak solutions to (F) $\partial\_t u+ (-Δ)^\alphau+h(t, u)=0 $ in ,with initial condition in , where…