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Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | 김승혁 | - |
| dc.date.accessioned | 2021-02-19T06:12:58Z | - |
| dc.date.available | 2021-02-19T06:12:58Z | - |
| dc.date.issued | 2019-12 | - |
| dc.identifier.citation | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v. 132, page. 398-456 | en_US |
| dc.identifier.issn | 0021-7824 | - |
| dc.identifier.issn | 1776-3371 | - |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0021782419300662?via%3Dihub | - |
| dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/158827 | - |
| dc.description.abstract | We consider the Lane-Emden system {-Delta u = v(p) in Omega, -Delta v = u(q) in Omega, u, v > 0 in Omega, u = v = 0 on partial derivative Omega where 12 is a smooth bounded domain in R-n for n >= 3 and 0 < p < q < infinity. The asymptotic behavior of least energy solutions near the critical hyperbola was studied by Guerra [17] when p >= 1 and the domain is convex. In this paper, we cover all the remaining cases p < 1 and extend the results to arbitrary smooth bounded domains. (C) 2019 Elsevier Masson SAS. All rights reserved. | en_US |
| dc.description.sponsorship | This work is a full generalization of the unpublished paper 'The Lane-Emden system near the critical hyperbola on nonconvex domains' (arXiv:1505.06978) written by W. Choi. In that paper, Theorem B in our paper was verified under the additional assumptions that p >= 1 and (2.10) holds. Also, the validity of (2.10) was shown provided that p is sufficiently near 1; the proof is based on our Lemma B.1 and a perturbation argument. W. Choi was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2017R1C1B5076348). S. Kim was partially supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2017R1C1B5076384). | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | ELSEVIER SCIENCE BV | en_US |
| dc.subject | Lane-Emden system | en_US |
| dc.subject | Critical hyperbola | en_US |
| dc.subject | Non-convex domain | en_US |
| dc.subject | Exponent less than 1 | en_US |
| dc.title | Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola | en_US |
| dc.type | Article | en_US |
| dc.relation.volume | 132 | - |
| dc.identifier.doi | 10.1016/j.matpur.2019.04.001 | - |
| dc.relation.page | 398-456 | - |
| dc.relation.journal | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | - |
| dc.contributor.googleauthor | Choi, Woocheol | - |
| dc.contributor.googleauthor | Kim, Seunghyeok | - |
| dc.relation.code | 2019000255 | - |
| 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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