Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김승혁 | - |
dc.date.accessioned | 2018-03-23T05:50:46Z | - |
dc.date.available | 2018-03-23T05:50:46Z | - |
dc.date.issued | 2013-11 | - |
dc.identifier.citation | Journal of Functional Analysis, 2013, 265(9), P.955-1980 | en_US |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.issn | 1096-0783 | - |
dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S002212361300267X?via%3Dihub | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/51327 | - |
dc.description.abstract | We consider the nonlinear elliptic problem-Delta u = u(p) in Omega(R), u > 0 in Omega(R), u = 0 in Omega(R)where p > 1 and Omega(R) = {x is an element of R-N: R < vertical bar x vertical bar < R + 1} with N >= 3. It is known that as R -> infinity, the number of nonequivalent solutions of the above problem goes to infinity when p is an element of (N + 2)/(N - 2)), N >= 3. Here we prove the same phenomenon for any p > 1 by finding O (N - 1)-symmetric clustering bump solutions which concentrate near the set {(x(1), ... , x(N)) is an element of Omega(R): x(N) = 0} for large R > 0. (C) 2013 Elsevier Inc. All rights reserved. | en_US |
dc.description.sponsorship | This research of the first author was supported by Mid-career Researcher Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (No. NRF-2013R1A2A2A05006371). The second author was partially supported by TJ Park Doctoral Fellowship funded by POSCO. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier Science | en_US |
dc.subject | Concentration phenomena | en_US |
dc.subject | Expanding annuli | en_US |
dc.subject | Supercritical problem | en_US |
dc.title | Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.jfa.2013.07.008 | - |
dc.relation.journal | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.contributor.googleauthor | Byeon, Jaeyoung | - |
dc.contributor.googleauthor | Kim, Seunghyeok | - |
dc.contributor.googleauthor | Pistoia, Angela | - |
dc.relation.code | 2013010692 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | shkim0401 | - |
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