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A remark on the uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities
| Title: | A remark on the 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: | 934 |
| Start Page: | 1 |
| End Page: | 5 |
| Abstract: | We consider the uniqueness of positive solutions to < u ¡ ωu + up ¡ u2p−1 = 0 in Rn, im x|→∞ (x) = 0. 1) t is known that for fixed p > 1, a positive solution to (1) exists if and only f ω 2 (0, ωp), where ωp := p + 1)2 . We deduce the uniqueness in the ase where ω is close to ωp, from the argument in the classical paper by eletier and Serrin [9], thereby recovering a part of the uniqueness result f Ouyang and Shi [8] for all ω 2 (0, ωp). |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69742 |
| 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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