Abstract
We construct non-Lipschitz minimizers of smooth, uniformly convex functionals of type I(u) = ∫Ω f(Du(x))dx. Our method is based on the use of null Lagrangians.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 15269-15276 |
| Number of pages | 8 |
| Journal | Proceedings of the National Academy of Sciences of the United States of America |
| Volume | 99 |
| Issue number | 24 |
| DOIs | |
| State | Published - Nov 26 2002 |