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 Regularity of solutions to higher-order integrals of the calculus of variations
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4090

title: Regularity of solutions to higher-order integrals of the calculus of variations
authors: Ammi, M.R.S.
Torres, D.F.M.
keywords: Calculus of variations
Higher-order derivatives
Non-occurrence of the Lavrentiev phenomenon
Optimal control
Regularity of solutions
issue date: 2008
publisher: Taylor & Francis
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 minimisers with essentially bounded derivatives.
URI: http://hdl.handle.net/10773/4090
ISSN: 0020-7721
source: International Journal of Systems Science
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