dc.date.accessioned2020-08-14T20:43:23Z
dc.date.accessioned2022-10-18T23:41:41Z
dc.date.available2020-08-14T20:43:23Z
dc.date.available2022-10-18T23:41:41Z
dc.date.created2020-08-14T20:43:23Z
dc.date.issued2006
dc.identifierhttp://hdl.handle.net/10533/246038
dc.identifier15000001
dc.identifierno isi
dc.identifierno scielo
dc.identifiereid=2-s2.0-33751528
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4477325
dc.description.abstractWe consider the elliptic problem Δu + up = 0, u > 0 in an exterior domain, Ω=RN∖D under zero Dirichlet and vanishing conditions, where D is smooth and bounded, and p is supercritical, namely p>N+2N−2 . We prove that this problem has infinitely many solutions with slow decay O(|x|−2p−1) at infinity. In addition, a fast decay solution exists if p is close enough to the critical exponent. If p differs from certain sequence of resonant values which tends to infinity, then the Dirichlet problem is also solvabe in a bounded domain Ω with a sufficiently small spherical hole.
dc.languageeng
dc.relationhttps://doi.org/10.1007/s00032-006-0058-0
dc.relation10.1007/s00032-006-0058-0
dc.relationinstname: ANID
dc.relationreponame: Repositorio Digital RI2.0
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleNonlinear elliptic problems above criticality
dc.typeArticulo


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