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Article Contents

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

• 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:

• on this site

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