Non-Lipschitz minimizers of smooth uniformly convex functionals.
We construct non-Lipschitz minimizers of smooth, uniformly convex functionals of type I(u) = integral (Omega) f(Du(x))dx. Our method is based on the use of null Lagrangians.
Sverák
Vladimír
V
Department of Mathematics, University of Minnesota, Minneapolis 55455, USA. sverak@math.umn.edu
Yan
Xiaodong
X