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

Jiakun Liu; Bin Zhou

doi:10.1016/j.jde.2012.10.017

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

Jiakun Liu^*, Bin Zhou

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In 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.

Original language	English
Pages (from-to)	1306-1325
Number of pages	20
Journal	Journal of Differential Equations
Volume	254
Issue number	3
DOIs	https://doi.org/10.1016/j.jde.2012.10.017
Publication status	Published - 1 Feb 2013

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10.1016/j.jde.2012.10.017

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title = "An obstacle problem for a class of Monge-Amp{\`e}re type functionals",

abstract = "In this paper we study an obstacle problem for Monge-Amp{\`e}re 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 convexity",

author = "Jiakun Liu and Bin Zhou",

year = "2013",

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day = "1",

doi = "10.1016/j.jde.2012.10.017",

language = "English",

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AU - Liu, Jiakun

AU - Zhou, Bin

PY - 2013/2/1

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N2 - In 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.

AB - In 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.

KW - Abreu's equation

KW - Affine area functional

KW - Fourth order equations

KW - Obstacle problem

KW - Regularity

KW - Strict convexity

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U2 - 10.1016/j.jde.2012.10.017

DO - 10.1016/j.jde.2012.10.017

M3 - Article

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VL - 254

SP - 1306

EP - 1325

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 3

ER -

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

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