A Liouville Theorem for Solutions to the Linearized Monge-ampere Equation
نویسندگان
چکیده
We prove that global Lipschitz solutions to the linearized MongeAmpere equation Lφu := ∑ φuij = 0 must be linear in 2D. The function φ is assumed to have the Monge-Ampere measure detD2φ bounded away from 0 and ∞.
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