完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Shafrir, Itai | en_US |
dc.contributor.author | Speetor, Daniel | en_US |
dc.date.accessioned | 2019-04-02T05:59:57Z | - |
dc.date.available | 2019-04-02T05:59:57Z | - |
dc.date.issued | 2018-12-01 | en_US |
dc.identifier.issn | 0362-546X | en_US |
dc.identifier.uri | http://dx.doi.org/10.1016/j.na.2018.04.027 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/148397 | - |
dc.description.abstract | In this paper we obtain the best constants in some higher order Sobolev inequalities in the critical exponent. These inequalities can be separated into two types: those that embed into L-infinity(R-N) and those that embed into slightly larger target spaces. Concerning the former, we show that for k is an element of{1,..., N - 1}, N - k even, one has an optimal constant c(k) > 0 such that parallel to u parallel to L-infinity <= c(k) integral vertical bar del(k)(-Delta)((N- k)/2)u vertical bar for all u is an element of C-c(infinity) (R-N) (the case k = N was handled in Shafrir, 2018). Meanwhile the most significant of the latter is a variation of D. Adams' higher order inequality of J. Moser: For Omega subset of R-N, m is an element of N and p = N/m, there exists A > 0 and optimal constant beta(0) > 0 such that integral(Omega) exp(beta(0)vertical bar u vertical bar(p')) <= A vertical bar Omega vertical bar for all u such that parallel to del(m)u parallel to(Lp(Omega)) <= 1, where parallel to del(m)u parallel to(Lp(Omega)) is the traditional seminorm on the space W-m,W-p(Omega). (C) 2018 Elsevier Ltd. All rights reserved. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Sobolev embedding | en_US |
dc.subject | Critical exponent | en_US |
dc.subject | Best constant | en_US |
dc.title | Best constants for two families of higher order critical Sobolev embeddings | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.na.2018.04.027 | en_US |
dc.identifier.journal | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | en_US |
dc.citation.volume | 177 | en_US |
dc.citation.spage | 753 | en_US |
dc.citation.epage | 769 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000449073400022 | en_US |
dc.citation.woscount | 0 | en_US |
顯示於類別: | 期刊論文 |