Weak solutions of the m-polyharmonic Dirichlet problem in Reifenberg-flat domains are C^{m-1,α} up to the boundary, with an a priori estimate in terms of the L^q norm of the source.
Stable domains for higher order elliptic operators
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Boundary regularity for the polyharmonic Dirichlet problem
Weak solutions of the m-polyharmonic Dirichlet problem in Reifenberg-flat domains are C^{m-1,α} up to the boundary, with an a priori estimate in terms of the L^q norm of the source.