11 citations · 14 across the 3 of their papers we have counts for
3 papers
math.CA2015★ 3 cited
Singular Sets and the Lavrentiev Phenomenon
Richard Gratwick
We show that non-occurrence of the Lavrentiev phenomenon does not imply that the singular set is small. Precisely, given a compact Lebesgue null subset of the line and an arbit…
math.CA2015
Variations, Approximation, and Low Regularity in One Dimension
Richard Gratwick
We investigate the properties of minimizers of one-dimensional variational problems when the Lagrangian has no higher smoothness than continuity. An elementary approximation result…
math.CA2010★ 11 cited
A one-dimensional variational problem with continuous Lagrangian and singular minimizer
Richard Gratwick, David Preiss
We construct a continuous Lagrangian, strictly convex and superlinear in the third variable, such that the associated variational problem has a Lipschitz minimizer which is non-dif…