Regularity of solutions to higher-order integrals of the calculus of variations
Optimization and Control
2008-07-19 v1
Abstract
We obtain new regularity conditions for problems of calculus of variations with higher-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon. Our main regularity result asserts that autonomous integral functionals with a Lagrangian having coercive partial derivatives with respect to the higher-order derivatives admit only minimizers with essentially bounded derivatives.
Keywords
Cite
@article{arxiv.0707.2816,
title = {Regularity of solutions to higher-order integrals of the calculus of variations},
author = {Moulay Rchid Sidi Ammi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0707.2816},
year = {2008}
}