Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/5644| Title: | On the profile of solutions for an elliptic problem arising in nonlinear optics | Contributor(s): | Cao, Daomin (author); Noussair, Ezzat S (author); Yan, Shusen (author) | Publication Date: | 2004 | Open Access: | Yes | DOI: | 10.3934/dcds.2004.11.649 | Handle Link: | https://hdl.handle.net/1959.11/5644 | Abstract: | We study the profile of solutions of [**EQUATION**] where λ > 0 is a parameter, h and g are nonnegative functions in L∞(ℝⁿ). We obtain the asymptotic behaviour of the least energy solutions or solutions obtained by the minimax principle. From the asymptotic behaviour we conclude that those solutions are asymmetric for λ large even if h and g are radially symmetric. | Publication Type: | Journal Article | Source of Publication: | Discrete and Continuous Dynamical Systems. Series A, 11(2-3), p. 649-666 | Publisher: | AIMS Press | Place of Publication: | United States of America | ISSN: | 1553-5231 1078-0947 |
Fields of Research (FoR) 2008: | 010110 Partial Differential Equations | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
|---|---|
| Appears in Collections: | Journal Article School of Science and Technology |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| open/SOURCE01.pdf | Other version | 51.48 kB | Adobe PDF Download Adobe | View/Open |
Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.