 1353 Alessio Fiscella, Enrico Valdinoci
 A critical Kirchhoff type problem involving a nonlocal operator
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Jun 11, 13

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Abstract. In this paper we show the existence of nonnegative
solutions for a Kirchhoff type problem driven by a nonlocal
integrodifferential operator, that is $$
M(\left\u
ight\^{2}_{Z})\mathcal L_Ku=\lambda
f(x,u)+\leftu
ight^{2^* 2}u\quad \mbox{in }\,\,\Omega,\qquad
u=0\quad\mbox{in}\,\,\mathbb{R}^{n}\setminus\Omega. $$ where $\mathcal
L_K$ is an integrodifferential operator with kernel~$K$, $\Omega$ is a
bounded subset of $\mathbb{R}^n$, $M$ and $f$ are continuous functions,
$\left\
 Files:
1353.src(
1353.keywords ,
Kirchoff_final.tex )