Sobolev Trace Inequalities

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dc.creatorPark, Young Ja
dc.date2001-07-09
dc.date.accessioned2026-07-07T04:42:32Z
dc.date.available2026-07-07T04:42:32Z
dc.descriptionThe existence of extremal functions for the Sobolev trace inequalities is studied using the concentration compactness theorem. The conjectured extremal, the function of conformal factor, is considered and is proved to be an actual extremal function with extra symmetry condition on functions. One of the limiting cases of the Sobolev trace inequalities is investigated and the best constant for this case is computed.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0107065
dc.identifierhttp://arxiv.org/abs/math/0107065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61822
dc.subjectClassical Analysis and ODEs
dc.subjectAnalysis of PDEs
dc.subject46E35 (primary), 58E30, 46B50
dc.titleSobolev Trace Inequalities
dc.typetext

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