Raffaella Servadei
A critical fractional Laplace equation in the resonant case
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ABSTRACT.  In this paper we complete the study of the following
non-local fractional equation involving critical nonlinearities
$$\left\{ egin{array}{ll} (-\Delta)^s u-\lambda u=|u|^{2^*-2}u &
{\mbox{ in }} \Omega\ u=0 & {\mbox{ in }} \RR^n\setminus \Omega\,.
\end{array} 
ight.$$