Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3

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dc.contributor.authordel Pino, Manuel
dc.contributor.authorMusso, Monica
dc.contributor.authorRoman, Carlos
dc.contributor.authorWei, Juncheng
dc.date.accessioned2025-01-23T21:15:38Z
dc.date.available2025-01-23T21:15:38Z
dc.date.issued2019
dc.description.abstractWe consider the problem of finding positive solutions of the problem u -.u + u5 = 0 in a bounded, smooth domain in R3, under zero Neumann boundary conditions. Here. is a positive number. We analyze the role of Green's function of - +. in the presence of solutions exhibiting single bubbling behavior at one point of the domain when. is regarded as a parameter. As a special case of our results, we find and characterize a positive value.* such that if. -. * > 0 is sufficiently small, then this problem is solvable by a solution u. which blows-up by bubbling at a certain interior point of lambda down arrow lambda(*).
dc.fuente.origenWOS
dc.identifier.doi10.1007/s11854-019-0008-8
dc.identifier.eissn1565-8538
dc.identifier.issn0021-7670
dc.identifier.urihttps://doi.org/10.1007/s11854-019-0008-8
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101098
dc.identifier.wosidWOS:000465259400011
dc.issue.numero2
dc.language.isoen
dc.pagina.final843
dc.pagina.inicio813
dc.revistaJournal d analyse mathematique
dc.rightsacceso restringido
dc.titleInterior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3
dc.typeartículo
dc.volumen137
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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