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https://hdl.handle.net/1959.11/4007| Title: | Nonlinear Liouville Theorems and a Priori Estimates for Indefinite Superlinear Elliptic Equations | Contributor(s): | Du, Yihong (author) ; Li, Shujie (author) |
Publication Date: | 2005 | Handle Link: | https://hdl.handle.net/1959.11/4007 | Abstract: | We establish two general nonlinear Liouville theorems for equations of the type -Δu = h(x₁)f(u), u ≥ 0 in R^N, sup u < +∞. R^N We then show how these Liouville theorems can be used to obtain a priori estimates for positive solutions of indefinite superlinear elliptic equations for several new cases left open in previous research. | Publication Type: | Journal Article | Source of Publication: | Advances in Differential Equations, 10(8), p. 841-860 | Publisher: | Khayyam Publishing Company, Inc | Place of Publication: | United States of America | ISSN: | 1079-9389 | Fields of Research (FoR) 2008: | 019999 Mathematical Sciences not elsewhere classified | 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 | Publisher/associated links: | http://www.aftabi.com/ADE/ade10.html |
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| Appears in Collections: | Journal Article School of Science and Technology |
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