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Bjorland, C.; Caffarelli, L.; Figalli, A.
Advances in mathematics, July-August 2012, 2012-07-00, Letnik: 230, Številka: 4-6Journal Article
In this paper we study a general class of “quasilinear non-local equations” depending on the gradient which arises from tug-of-war games. We establish a Cα/C1,α/C2,α regularity theory for these equations (the kind of regularity depending on the assumptions on the kernel), and we construct different non-local approximations of the p-Laplacian.
