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arXiv:math/0611058 [math.AP]AbstractReferencesReviewsResources

Boundedness of the Hessian of a biharmonic function in a convex domain

Svitlana Mayboroda, Vladimir Maz'ya

Published 2006-11-02, updated 2007-04-17Version 2

We consider the Dirichlet problem for the biharmonic equation on an arbitrary convex domain and prove that the second derivatives of the variational solution are bounded in all dimensions.

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