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https://hdl.handle.net/1959.11/11639| Title: | Infinitely many solutions for the Schrödinger equations in ℝᴺ with critical growth | Contributor(s): | Chen, Wenyi (author); Wei, Juncheng (author); Yan, Shusen (author) | Publication Date: | 2012 | Open Access: | Yes | DOI: | 10.1016/j.jde.2011.09.032 |
Handle Link: | https://hdl.handle.net/1959.11/11639 | Abstract: | We consider the following nonlinear problem in ℝᴺ ... where V (r) is a bounded non-negative function, N ≥ 5. We show that if r²V (r) has a local maximum point, or local minimum point r0 >0 with V (r0) > 0, then (0.1) has infinitely many non-radial solutions, whose energy can be made arbitrarily large. | Publication Type: | Journal Article | Source of Publication: | Journal of Differential Equations, 252(3), p. 2425-2447 | Publisher: | Academic Press | Place of Publication: | United States of America | ISSN: | 1090-2732 0022-0396 |
Fields of Research (FoR) 2008: | 010110 Partial Differential Equations | Fields of Research (FoR) 2020: | 490410 Partial differential equations | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article |
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