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Boundary regularity for the polyharmonic Dirichlet problem

math.AP · 2025-02-05 · conditional · novelty 7.0

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.

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  • Boundary regularity for the polyharmonic Dirichlet problem math.AP · 2025-02-05 · conditional · none · ref 2

    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.