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arXiv:0707.2816 [math.OC]AbstractReferencesReviewsResources

Regularity of solutions to higher-order integrals of the calculus of variations

Moulay Rchid Sidi Ammi, Delfim F. M. Torres

Published 2007-07-18Version 1

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.

Journal: International Journal of Systems Science, Vol. 39, No. 9, pp. 889--895, 2008
Categories: math.OC
Subjects: 49N60, 49J30, 49K05
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