Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents

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dc.contributor.authorChoi, Woocheol
dc.contributor.authorKim, Seunghyeok
dc.date.accessioned2025-01-23T21:26:39Z
dc.date.available2025-01-23T21:26:39Z
dc.date.issued2017
dc.description.abstractWe study qualitative properties of solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents where the associated fractional Laplacian is defined in terms of either the spectra of the Dirichlet Laplacian or the integral representation. As a consequence, we classify the asymptotic behavior of all finite energy solutions. Our method also provides a simple and unified approach to deal with the classical (local) Lane-Emden-Fowler equation for any dimension >2.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s10231-016-0572-9
dc.identifier.eissn1618-1891
dc.identifier.issn0373-3114
dc.identifier.urihttps://doi.org/10.1007/s10231-016-0572-9
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101360
dc.identifier.wosidWOS:000393687100013
dc.issue.numero1
dc.language.isoen
dc.pagina.final308
dc.pagina.inicio269
dc.revistaAnnali di matematica pura ed applicata
dc.rightsacceso restringido
dc.subjectFractional Laplacian
dc.subjectCritical nonlinearity
dc.subjectMulti-peak solutions
dc.subjectBlow-up analysis
dc.titleClassification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents
dc.typeartículo
dc.volumen196
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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