Lie Symmetries and Criticality of Semilinear Differential Systems

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dc.contributor.authorBozhkov, Y.
dc.contributor.authorMitidieri, E.
dc.date.accessioned2019-02-16T08:35:03Z
dc.date.available2019-02-16T08:35:03Z
dc.date.issued2007
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipWe wish to thank the referees for their useful suggestions. Yuri Bozhkov is grateful to the Organizers of the 7th International Conference “Symmetry in Nonlinear Mathematical Physics”, June 24–30 2007, Kyiv, Ukraine, for having given him the opportunity to present a talk on this subject. He would also like to thank FAPESP, CNPq and FAEPEX-UNICAMP, Brasil, as well as ICTP, Trieste, Italy, for financial support. Enzo Mitidieri acknowledges the support of INTAS-05-100000B-792.uk_UA
dc.identifier.citationLie Symmetries and Criticality of Semilinear Differential Systems / Y. Bozhkov, E. Mitidieri // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 39 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 35J50; 35J20; 35J60; 35L70
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147807
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleLie Symmetries and Criticality of Semilinear Differential Systemsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік