177 citations
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Showing 2014 · math.APShow all
3 papers · 2 filters
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…
math.AP2014★ 6 cited
On the fractional Lane-Emden equation
Louis Dupaigne, Juan Davila, Juncheng Wei
We classify solutions of finite Morse index of the fractional Lane- Emden equation
math.AP2014
Existence of sign changing solutions for an equation with a weighted p-Laplace operator
Carmen Cortázar, Jean Dolbeault, Marta Garcia-Huidobro +1
We consider radial solutions of a general elliptic equation involving a weighted -Laplace operator with a subcritical nonlinearity. By a shooting method we prove the existence o…