Regularity of Solutions to Second-Order Integral Functionals in Variational Calculus

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dc.creatorAmmi, Moulay Rchid Sidi
dc.creatorTorres, Delfim F. M.
dc.date2007-07-16
dc.date.accessioned2026-07-07T09:22:37Z
dc.date.available2026-07-07T09:22:37Z
dc.descriptionWe obtain regularity conditions of a new type of problems of the calculus of variations with second-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon. Our main result asserts that autonomous integral functionals of the calculus of variations with a Lagrangian having superlinearity partial derivatives with respect to the higher-order derivatives admit only minimizers with essentially bounded derivatives.
dc.identifierhttps://arxiv.org/abs/0707.2404
dc.identifierhttp://arxiv.org/abs/0707.2404
dc.identifierInt. J. Appl. Math. Stat.; Vol. 13; No. J08; June 2008; 1--12.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155434
dc.subjectOptimization and Control
dc.subject49N60; 49J30; 49K05
dc.titleRegularity of Solutions to Second-Order Integral Functionals in Variational Calculus
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