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Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | 김승혁 | - |
| dc.date.accessioned | 2022-10-20T00:59:38Z | - |
| dc.date.available | 2022-10-20T00:59:38Z | - |
| dc.date.issued | 2021-01 | - |
| dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 149, no. 1, Page. 265-278 | en_US |
| dc.identifier.issn | 1088-6826 ; 0002-9939 | en_US |
| dc.identifier.uri | https://www.ams.org/journals/proc/2021-149-01/S0002-9939-2020-15217-3/ | en_US |
| dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/175595 | - |
| dc.description.abstract | We prove the non-degeneracy for the critical Lane-Emden system -Delta U = V-p, -Delta V = U-q, U, V > 0 in R-N for all N >= 3 and p, q > 0 such that 1/p+1 + 1/q+1 = N-2/N. We show that all solutions to the linearized system around a ground state must arise from the symmetries of the critical Lane-Emden system provided that they belong to the corresponding energy space or they tend to zero at infinity. | en_US |
| dc.description.sponsorship | The first author was partially supported by US National Science Foundation grant DMS-1363432. The second author was partially supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2017R1C1B5076384). The third author was partially supported by Fondi di Ateneo "Sapienza" Universita di Roma (Italy). | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | AMER MATHEMATICAL SOC | en_US |
| dc.subject | Lane-Emden system; critical hyperbola; non-degenerate solution | en_US |
| dc.title | Non-degeneracy for the critical Lane-Emden system | en_US |
| dc.type | Article | en_US |
| dc.relation.volume | 149 | - |
| dc.identifier.doi | 10.1090/proc/15217 | en_US |
| dc.relation.page | 265-278 | - |
| dc.relation.journal | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
| dc.contributor.googleauthor | Frank, Rupert L. | - |
| dc.contributor.googleauthor | Kim, Seunghyeok | - |
| dc.contributor.googleauthor | Pistoia, Angela | - |
| dc.relation.code | 2021000350 | - |
| dc.sector.campus | S | - |
| dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
| dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
| dc.identifier.pid | shkim0401 | - |
| dc.identifier.orcid | https://orcid.org/0000-0003-2936-5858 | - |
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