 1282 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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