Abstract
We construct a counterexample to regularity for convex solutions to
in two dimensions. We also prove a result on the propagation of singularities of the form in two dimensions. This generalizes a classical result of Alexandrov and is optimal by example.
Citation
Connor Mooney. "Some counterexamples to Sobolev regularity for degenerate Monge–Ampère equations." Anal. PDE 9 (4) 881 - 891, 2016. https://doi.org/10.2140/apde.2016.9.881
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