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

Simple item page
dc.creatorAmmi, Moulay Rchid Sidi
dc.creatorTorres, Delfim F. M.
dc.date2007-07-18
dc.date.accessioned2026-07-07T09:51:06Z
dc.date.available2026-07-07T09:51:06Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0707.2816
dc.identifierhttp://arxiv.org/abs/0707.2816
dc.identifierInternational Journal of Systems Science, Vol. 39, No. 9, pp. 889--895, 2008
dc.identifierdoi:10.1080/00207720802184733
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165171
dc.subjectOptimization and Control
dc.subject49N60; 49J30; 49K05
dc.titleRegularity of solutions to higher-order integrals of the calculus of variations
dc.typetext

Files

Collections

arXiv