Abstract
This paper is concerned with the existence of viscosity solutions of nonlocal fully nonlinear equations that are not translation-invariant. We construct a discontinuous viscosity solution of such a nonlocal equation by Perron’s method. If the equation is uniformly elliptic, we prove the discontinuous viscosity solution is Hölder continuous and thus it is a viscosity solution.
Citation
Chenchen Mou. "Perron's method for nonlocal fully nonlinear equations." Anal. PDE 10 (5) 1227 - 1254, 2017. https://doi.org/10.2140/apde.2017.10.1227
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