arXiv math/06110582006-11math.AP

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

Svitlana Mayboroda, Vladimir Maz'ya

英文摘要：

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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