Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/13582
Title: | Existence and Nonexistence of Interior-Peaked Solution for a Nonlinear Neumann Problem | Contributor(s): | Cao, Daomin (author); Noussair, E S (author); Yan, Shusen (author) | Publication Date: | 2001 | DOI: | 10.2140/pjm.2001.200.19 | Handle Link: | https://hdl.handle.net/1959.11/13582 | Abstract: | We show that the critical problem {-∆υ + λυ = υ²*⁻¹ + αυq⁻¹, υ > 0 in Ω, ∂υ∕∂ν = 0 on ∂Ω, 2 < q < 2* = 2N/(N − 2), has no positive solutions concentrating, as λ → ∞, at interior points of Ω if a = 0, but for a class of symmetric domains Ω, the problem with α > 0 has solutions concentrating at interior points of Ω. | Publication Type: | Journal Article | Source of Publication: | Pacific Journal of Mathematics, 200(1), p. 19-42 | Publisher: | Mathematical Sciences Publishers | Place of Publication: | United States of America | ISSN: | 1945-5844 0030-8730 |
Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | 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 |
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Appears in Collections: | Journal Article |
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