12-82 Raffaella Servadei and Enrico Valdinoci
Weak and viscosity solutions of the fractional Laplace equation (40K, LaTeX) Aug 2, 12
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Abstract. Aim of this paper is to show that weak solutions of the following fractional Laplacian equation $$\left\{ egin{matrix} (-\Delta)^s u=f & {\mbox{ in }}\Omega,\ u=g &{\mbox{ in }}\RR^n\setminus\Omega \end{matrix} ight.$$ are also continuous solutions of this problem in the viscosity sense.

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