An obstacle problem for a class of Monge-Ampère type functionals

Zhou, BinLiu, Jiakun2015-12-070022-0396http://hdl.handle.net/1885/21978In this paper we study an obstacle problem for Monge-Ampère type functionals, whose Euler-Lagrange equations are a class of fourth order equations, including the affine maximal surface equation and Abreu's equation.Keywords: Abreu's equation; Affine area functional; Fourth order equations; Obstacle problem; Regularity; Strict convexityAn obstacle problem for a class of Monge-Ampère type functionals201310.1016/j.jde.2012.10.0172016-02-24