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Existence theorems for multiple integrals of the calculus of variations for discontinuous solutions
dc.contributor.authorCesari, Lambertoen_US
dc.contributor.authorSalvadori, A.en_US
dc.contributor.authorBrandi, P.en_US
dc.date.accessioned2006-09-11T19:34:29Z
dc.date.available2006-09-11T19:34:29Z
dc.date.issued1988-12en_US
dc.identifier.citationCesari, L.; Brandi, P.; Salvadori, A.; (1988). "Existence theorems for multiple integrals of the calculus of variations for discontinuous solutions." Annali di Matematica Pura ed Applicata 152(1): 95-121. <http://hdl.handle.net/2027.42/47939>en_US
dc.identifier.issn0373-3114en_US
dc.identifier.issn1618-1891en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/47939
dc.description.abstractThe authors prove existence theorems for the minimum of multiple integrals of the calculus of variations with constraints on the derivatives in classes of BV possibly discontinuous solutions. To this effect the integrals are written in the form proposed by Serrin. Usual convexity conditions are requested, but no growth condition. Preliminary closure and semicontinuity theorems are proved which are analogous to those previously proved by Cesari in Sobolev classes. Compactness in L 1 of classes of BV functions with equibounded total variations is derived from Cafiero-Fleming theorems.en_US
dc.format.extent1483379 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Fondazione Annali di Matematica Pura ed Applicataen_US
dc.subject.otherMathematicsen_US
dc.subject.otherMathematics, Generalen_US
dc.titleExistence theorems for multiple integrals of the calculus of variations for discontinuous solutionsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumMathematical Department, University of Michigan, Ann Arbor, Michigan, USAen_US
dc.contributor.affiliationotherDipartimento di Matematica, Università degli Studi, Perugia, Italyen_US
dc.contributor.affiliationotherDipartimento di Matematica, Università degli Studi, Perugia, Italyen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/47939/1/10231_2005_Article_BF01766143.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01766143en_US
dc.identifier.sourceAnnali di Matematica Pura ed Applicataen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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