Accepted Paper
Inserted: 28 mar 2012
Last Updated: 28 mar 2012
Journal: Adv. Math.
Year: 2012
Abstract:
In this paper we study a general class of ``quasilinear non-local equations'' depending on the gradient which arise from tug-of-war games. We establish a $C^\alpha$-$C^{1,\alpha}$-$C^{2,\alpha}$ 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.
Download: