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

作者：Liu Jiakun^*; Zhou Bin

来源：Journal of Differential Equations, 2013, 254(3): 1306-1325.

DOI：10.1016/j.jde.2012.10.017

• Obstacle problem
• Regularity
• Strict convexity
• Fourth order equations
• Affine area functional
• Abreu's equation

In this paper we study an obstacle problem for Monge-Ampere type functionals, whose Euler-Lagrange equations are a class of fourth order equations, including the affine maximal surface equation and Abreu's equation.

• 出版日期2013-2-1
• 单位北京大学