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)|
|Number of pages||8|
|Journal||Proceedings of the National Academy of Sciences of the United States of America|
|State||Published - Nov 26 2002|