Local estimates for functionals depending on the gradient with a perturbation

dc.contributor.authorSantos, Telma João
dc.date.accessioned2016-01-28T12:43:14Z
dc.date.available2016-01-28T12:43:14Z
dc.date.issued2016-02-01
dc.description.abstractThis paper concerns minimization problems from Calculus of Variations depending on the gradient and with a linear perturbation. Inspired in qualitative properties that are valid for elliptic partial differential equations, it presents some local estimates near non extremum points as well as extremum points. These estimates are inspired on a class of functions given by A. Cellina in [2]. Also, a comparison result with respect to these functions is presented. Finally, some local estimates are obtained for the difference between the supremum and the infimum of any solution to the problems considered.por
dc.description.sponsorship1This work is financially supported by Portuguese National Funds through FCT (Foundation for the Science and Technology) under the ambit of the project Pest-OE/MAT/UI0117/2014.por
dc.identifier.authoremailtjfs@uevora.pt
dc.identifier.citationSantos, Telma João, Local estimates for functionals depending on the gradient with a perturbation, J.Math.Anal.Appl.434(2016)858–871por
dc.identifier.doi10.1016/j.jmaa.2015.09.046por
dc.identifier.scientificarea334por
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0022247X15008756
dc.identifier.urihttp://hdl.handle.net/10174/16981
dc.language.isoporpor
dc.peerreviewedyespor
dc.publisherJournal of Mathematical Analysis and Applicationspor
dc.rightsrestrictedAccesspor
dc.subjectCalculus of Variationspor
dc.subjectPartial Differential Equationspor
dc.subjectComparison Theorempor
dc.subjectLocal Estimatespor
dc.titleLocal estimates for functionals depending on the gradient with a perturbationpor
dc.typearticlepor

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