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On the maximum value of ground states for the scalar field equation with double power nonlinearity
Title: | On the maximum value of ground states for the scalar field equation with double power nonlinearity |
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: | 937 |
Start Page: | 1 |
End Page: | 8 |
Abstract: | We evaluate the maximum value of the unique positive solution to < u + f(u) = 0 in Rn, im x|→∞ (x) = 0, here (u) = ¡ωu + up ¡ uq, ω > 0, q > p > 1. t is known that a positive solution to this problem exists if and only if (u) := u f(s)ds > 0 for some u > 0. Moreover, Ouyang and Shi in 1998 ound that the solution is unique. In the present paper we investigate the aximum value of the solution. The key idea is to examine the function efined from the nonlinearity, which arises from the well-known Pohozaev dentity. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69745 |
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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