13 citations · 62 across the 19 of their papers we have counts for
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Fine properties of branch point singularities: stationary two-valued graphs and stable minimal hypersurfaces near points of density
Brian Krummel, Neshan Wickramasekera
We study (higher order) asymptotic behaviour near branch points of stationary -dimensional two-valued graphs in an open subset of . Specifically, i…
Fine properties of branch point singularities: Dirichlet energy minimizing multi-valued functions
Brian Krummel, Neshan Wickramasekera
In the early 1980's Almgren developed a theory of Dirichlet energy minimizing multi-valued functions, proving that the Hausdorff dimension of the singular set (including branch poi…
The blow up method for Brakke flows: networks near triple junctions
Yoshihiro Tonegawa, Neshan Wickramasekera
We introduce a parabolic blow-up method to study the asymptotic behavior of an integral Brakke flow of planar networks (i.e. a 1-dimensional integral Brakke flow in a two dimension…
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…