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dc.contributor.author | Ibrahim, Slim | en |
dc.contributor.author | Masmoudi, Nader | en |
dc.contributor.author | Nakanishi, Kenji | en |
dc.contributor.alternative | 中西, 賢次 | ja |
dc.date.accessioned | 2015-10-26T00:27:35Z | - |
dc.date.available | 2015-10-26T00:27:35Z | - |
dc.date.issued | 2015 | - |
dc.identifier.issn | 1435-9855 | - |
dc.identifier.uri | http://hdl.handle.net/2433/200756 | - |
dc.description.abstract | Trudinger-Moser inequality is a substitute to the (forbidden) critical Sobolev embedding, namely the case where the scaling corresponds to L∞. It is well known that the original form of the inequality with the sharp exponent (proved by Moser) fails on the whole plane, but a few modi ed versions are available. We prove a precised version of the latter, giving necessary and sufficient conditions for the boundedness, as well as for the compactness, in terms of the growth and decay of the nonlinear function. It is tightly related to the ground state of the nonlinear Schr ödinger equation (or the nonlinear Klein-Gordon equation), for which the range of the time phase (or the mass constant) as well as the energy is given by the best constant of the inequality. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | EMS Publishing House | en |
dc.rights | © 2015 EMS Publishing House. | en |
dc.rights | This is not the published version. Please cite only the published version. | en |
dc.rights | この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 | ja |
dc.subject | Sobolev critical exponent | en |
dc.subject | Trudinger-Moser inequality | en |
dc.subject | concentration compactness | en |
dc.subject | nonlinear Schr ödinger equation | en |
dc.subject | ground state | en |
dc.title | Trudinger–Moser inequality on the whole plane with the exact growth condition | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Journal of the European Mathematical Society | en |
dc.identifier.volume | 17 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 819 | - |
dc.identifier.epage | 835 | - |
dc.relation.doi | 10.4171/JEMS/519 | - |
dc.textversion | author | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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