Torus action on <i>S<SUP>n</SUP></i> and sign-changing solutions for conformally invariant equations

Simple item page
dc.contributor.authordel Pino, Manuel
dc.contributor.authorMusso, Monica
dc.contributor.authorPacard, Frank
dc.contributor.authorPistoia, Angela
dc.date.accessioned2025-01-24T00:09:40Z
dc.date.available2025-01-24T00:09:40Z
dc.date.issued2013
dc.description.abstractWe construct sequences of sign-changing solutions for some conformany invariant semilinear elliptic equation which is defined S-n, when n >= 4. The solutions we obtain have large energy and concentrate along some special submanifolds of S-n. For example, for n >= 4 we obtain sequences of solutions whose energy concentrates along one great circle or finitely many great circles which are linked to each other (and they correspond to Hopf links embedded in S-3 x {0) subset of S-n). In dimension n >= 5 we obtain sequences of solutions whose energy concentrates along a two-dimensional torus (which corresponds to a Clifford torus embedded in S-3 x {0} subset of S-n).
dc.fuente.origenWOS
dc.identifier.eissn2036-2145
dc.identifier.issn0391-173X
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101997
dc.identifier.wosidWOS:000319719000007
dc.issue.numero1
dc.language.isoen
dc.pagina.final237
dc.pagina.inicio209
dc.revistaAnnali della scuola normale superiore di pisa-classe di scienze
dc.rightsacceso restringido
dc.titleTorus action on <i>S<SUP>n</SUP></i> and sign-changing solutions for conformally invariant equations
dc.typeartículo
dc.volumen12
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas