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arxiv: 1204.1788 · v1 · pith:ZT2Z63U5new · submitted 2012-04-09 · 🧮 math.AP

An obstacle problem for a class of Monge-Amp\`ere type functionals

classification 🧮 math.AP
keywords equationsclassfunctionalsmonge-ampobstacleproblemtypeabreu
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In this paper we study an obstacle problem for Monge-Amp\`ere type functionals, whose Euler-Lagrange equations are a class of fourth order equations, including the affine maximal surface equations and Abreu's equation.

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