# Non-Local Gradient Dependent Operators

created by figalli on 28 Mar 2012

[BibTeX]

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:

Credits | Cookie policy | HTML 5 | CSS 2.1