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Aug 22, 2011 at 12:50 comment added asv @Florian: I did not check the details of the proof of Lemma 17.16. But I am afraid that they may use somewhere modulus of continuity of second derivatives of a solution (for a single $C^2$ function it always exists).
Aug 22, 2011 at 12:37 history answered Florian CC BY-SA 3.0