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تسجيل مستخدم جديدPerrons method for nonlocal fully nonlinear equations
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Chenchen Mou
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This paper is concerned with existence of viscosity solutions of non-translation invariant nonlocal fully nonlinear equations. We construct a discontinuous viscosity solution of such nonlocal equation by Perrons method. If the equation is uniformly elliptic in the sense of cite{SS}, we prove the discontinuous viscosity solution is Holder continuous and thus it is a viscosity solution.
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