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Title: Regularity of solutions to higher-order integrals of the calculus of variations
Author: 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.
Peer review: yes
ISSN: 0020-7721
Appears in Collections:DMat - Artigos

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