6 citations
- Friedrich Schiller University JenaDE1 paper
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- Michigan State UniversityUS1 paper
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math.CA2006
Universal singular sets in the calculus of variations
Marianna Csornyei, Bernd Kirchheim, Toby C. O'Neil +2
For regular one-dimensional variational problems, Ball and Nadirashvilli introduced the notion of the universal singular set of a Lagrangian L and established its topological negli…
math.CA2003★ 1 cited
The Hausdorff dimension of the visible sets of connected compact sets
Toby C O'Neil
For a compact subset K of the plane and a point x, we define the visible part of K from x to be the set K_x={u\in K : [x,u]\cap K={u}}. (Here [x,u] denotes the closed line segment…