Proves optimal C^{1,α} regularity for ratios of solutions to divergence-form elliptic equations under product-structured nodal set assumptions, extending 2D results.
Kemper,A boundary Harnack principle for Lipschitz domains and the principle of positive singularities, Commun
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A Priori Regularity Estimates for Ratio of Solutions to Elliptic Equations with a Product Structure of Two-Dimensional Nodal Sets
Proves optimal C^{1,α} regularity for ratios of solutions to divergence-form elliptic equations under product-structured nodal set assumptions, extending 2D results.