科研之友
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摘要
We construct a counterexample to W-2,W-1 regularity for convex solutions to det D(2)u <= 1, u vertical bar(partial derivative Omega) = const. in two dimensions. We also prove a result on the propagation of singularities of the form vertical bar x(2)vertical bar/vertical bar log x(2)vertical bar in two dimensions. This generalizes a classical result of Alexandrov and is optimal by example.
- 出版日期2016
