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https://hdl.handle.net/1959.11/16873| Title: | Monotonicity formula and ε-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions | Contributor(s): | Du, Yihong (author) ; Guo, Zongming (author); Wang, Kelei (author) |
Publication Date: | 2014 | DOI: | 10.1007/s00526-013-0649-x | Handle Link: | https://hdl.handle.net/1959.11/16873 | Abstract: | We prove a monotonicity formula and an ε-regularity theorem for stable solutions to a class of weighted supercritical semilinear elliptic equations. We then use them to study the behavior of finite Morse index solutions and obtain some sharp results, which improve those of Dancer et al. (J Differ Equ 250:3281-3310, 2011) and Du and Guo (Adv Differ Eqns 2013) and completely answer the questions left open there. | Publication Type: | Journal Article | Grant Details: | ARC/DP130102773 | Source of Publication: | Calculus of Variations and Partial Differential Equations, 50(3-4), p. 615-638 | Publisher: | Springer | Place of Publication: | Germany | ISSN: | 1432-0835 0944-2669 |
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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