- 12-58 Raffaella Servadei and Enrico Valdinoci
- Fractional Laplacian equations with critical Sobolev exponent
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May 16, 12
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Abstract. In this paper we complete the study of the following elliptic equation driven by a general non-local integrodifferential operator~$\mathcal L_K$
$$\left\{
egin{array}{ll}
\mathcal L_K u+\lambda u+|u|^{2^*-2}u+f(x, u)=0 & \mbox{in } \Omega\
u=0 & \mbox{in } \RR^n\setminus \Omega\,.
\end{array}
ight.$$
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