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Hokkaido University Preprint Series in Mathematics >
Uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities
| Title: | Uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities |
| Authors: | Kawano, Shinji Browse this author |
| Issue Date: | 12-Feb-2009 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 936 |
| Start Page: | 1 |
| End Page: | 5 |
| Abstract: | We consider the problem < u + f(u) = 0 in Rn, im xj!1 (x) = 0, 1) here (u) = ¡ωu + up ¡ uq, ω > 0, q > p > 1. t is R known that a positive solution to (1) exists if and only if F(u) := u f(s)ds > 0 for some u > 0. Moreover, Ouyang and Shi in 1998 found hat the solution is unique if f satifies furthermore the condition that f(u) := (uf u)) (u) ¡ uf u)2 < 0 for any u > 0. In the present |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69744 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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