Lie Symmetries and Criticality of Semilinear Differential Systems

dc.creatorBozhkov, Y
dc.creatorMitidieri, E
dc.date2007
dc.date2014-11-17T20:43:03Z
dc.date2015-11-26T16:46:26Z
dc.date2014-11-17T20:43:03Z
dc.date2015-11-26T16:46:26Z
dc.date.accessioned2018-03-28T23:32:18Z
dc.date.available2018-03-28T23:32:18Z
dc.identifierSymmetry Integrability And Geometry-methods And Applications. Natl Acad Sci Ukraine, Inst Math, v. 3, 2007.
dc.identifier1815-0659
dc.identifierWOS:000207065200053
dc.identifier10.3842/SIGMA.2007.053
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/80939
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/80939
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/80939
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1274527
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionWe discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition for criticality based on the S. Lie symmetry theory. We show that this definition is compatible with the well-known notion of critical exponent by considering various examples. We also review some related recent papers.
dc.description3
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFAEPEX-UNICAMP, Brasil
dc.descriptionICTP, Trieste, Italy
dc.description[INTAS-05-100000B-792]
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description[INTAS-05-100000B-792]
dc.languageen
dc.publisherNatl Acad Sci Ukraine, Inst Math
dc.publisherKyiv 4
dc.publisherUcrânia
dc.relationSymmetry Integrability And Geometry-methods And Applications
dc.relationSymmetry Integr. Geom.
dc.rightsaberto
dc.sourceWeb of Science
dc.subjectPokhozhaev identities
dc.subjectNoether identity
dc.subjectcritical exponents
dc.subjectElliptic-equations
dc.subjectCritical Exponents
dc.subjectPoint Symmetries
dc.subjectHeisenberg-group
dc.subjectLocal Behavior
dc.subjectNonexistence
dc.subjectOperators
dc.subjectInequalities
dc.subjectDimensions
dc.subjectIdentity
dc.titleLie Symmetries and Criticality of Semilinear Differential Systems
dc.typeArtículos de revistas


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