dc.date.accessioned | 2020-08-14T20:43:23Z | |
dc.date.accessioned | 2022-10-18T23:41:41Z | |
dc.date.available | 2020-08-14T20:43:23Z | |
dc.date.available | 2022-10-18T23:41:41Z | |
dc.date.created | 2020-08-14T20:43:23Z | |
dc.date.issued | 2006 | |
dc.identifier | http://hdl.handle.net/10533/246038 | |
dc.identifier | 15000001 | |
dc.identifier | no isi | |
dc.identifier | no scielo | |
dc.identifier | eid=2-s2.0-33751528 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4477325 | |
dc.description.abstract | We 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.language | eng | |
dc.relation | https://doi.org/10.1007/s00032-006-0058-0 | |
dc.relation | 10.1007/s00032-006-0058-0 | |
dc.relation | instname: ANID | |
dc.relation | reponame: Repositorio Digital RI2.0 | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.title | Nonlinear elliptic problems above criticality | |
dc.type | Articulo | |