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math.AP2015
Entire solutions to semilinear nonlocal equations in $\RR^2$
Xavier Ros-Oton, Yannick Sire
We consider entire solutions to in $\RR^2$, where is a general nonlocal operator with kernel . Under certain natural assumtions on the operator , we show t…
math.AP2015★ 7 cited
Nonlocal elliptic equations in bounded domains: a survey
Xavier Ros-Oton
In this paper we survey some results on the Dirichlet problem \[\left\{ \begin{array}{rcll} L u &=&f&\textrm{in }Ω\\ u&=&g&\textrm{in }\mathbb R^n\backslashΩ\end{array}\right.\] fo…