Boundary regularity for the polyharmonic Dirichlet problem
Abstract
In this paper we prove that any solution of the m-polyharmonic Poisson equation in a Reifenberg-flat domain with homogeneous Dirichlet boundary condition, is Cm-1,α regular up to the boundary. To achieve this result we extend the Nirenberg method of translations to operators of arbitrary order, and then use some Mosco-convergence tools developped in a previous paper.
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