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A Liouville theorem for solutions to the linearized Monge-Ampere equation

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  • We prove that global Lipschitz solutions to the linearized Monge-Ampere equation

    $ L_$φ$ u$:$=\sum $φij$u_{ij}=0$

    must be linear in $2D$. The function φ is assumed to have the Monge-Ampere measure $\det D^2 $φ bounded away from $0$ and $\infty$.

    Mathematics Subject Classification: Primary: 35J70, 35B65.

    Citation:

    \begin{equation} \\ \end{equation}
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