Open AccessNon-Lipschitz minimizers of smooth uniformly convex functionals
Author(s) -
Vladimír Šverák,
Xiaodong Yan
Publication year - 2002
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.222494699
Subject(s) - lipschitz continuity , regular polygon , mathematics , lipschitz domain , mathematical analysis , geometry
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.