Non-local gradient dependent operators

作者：Bjorland C; Caffarelli L; Figalli A^*

来源：Advances in Mathematics, 2012, 230(4-6): 1859-1894.

DOI：10.1016/j.aim.2012.03.032

• Quasilinear non-local operators
• Tug-of-war
• Existence
• Regularity

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 C-alpha/C-1,C-alpha/C-2,C-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.

• 出版日期2012-8