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math.AP2014
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…
math.AP2014
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…