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math.AP2013★ 13 cited
Fine properties of branch point singularities: Two-valued harmonic functions
Brian Krummel, Neshan Wickramasekera
In the 1980's, Almgren developed a theory of multi-valued Dirichlet energy minimizing functions on dimensional domains and used it, in an essential way, to bound the Hausdorff…
math.DG2013
A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces
Neshan Wickramasekera
We prove the two theorems of the title, settling two long standing questions in the local theory of singular minimal hypersurfaces. The sharpness of either result is with respect t…