Some new estimates for solutions of degenerate two dimensional Monge-Ampère equations

@article{Urbas2001SomeNE,
  title={Some new estimates for solutions of degenerate two dimensional Monge-Amp{\`e}re equations},
  author={John Urbas},
  journal={Mathematische Zeitschrift},
  year={2001},
  volume={236},
  pages={625-641}
}
Abstract. We derive a monotonicity formula for smooth solutions u of degenerate two dimensional Monge-Ampère equations, and use this to obtain a local Hölder gradient estimate, depending on ||Δu||LP for some p > 1.