12-58 Raffaella Servadei and Enrico Valdinoci
Fractional Laplacian equations with critical Sobolev exponent (65K, LaTeX) 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~$\mathcal L_K$ $$\left\{ egin{array}{ll} \mathcal L_K u+\lambda u+|u|^{2^*-2}u+f(x, u)=0 & \mbox{in } \Omega\ u=0 & \mbox{in } \RR^n\setminus \Omega\,. \end{array} ight.$$

Files: 12-58.src( 12-58.keywords , servadei-valdinociCFP12-05-16.tex )