On the maximum value of ground states for the scalar field equation with double power nonlinearity

Kawano, Shinji

Hokkaido University Preprint Series in Mathematics, 2009, 937, 1-8

Permalink : https://doi.org/10.14943/84085

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アクセス権	open access
DOI	https://doi.org/10.14943/84085
URI	https://hdl.handle.net/2115/69745
タイトル	On the maximum value of ground states for the scalar field equation with double power nonlinearity
著者	著者名 Kawano, Shinji
言語	英語
発行日	2009-02-12
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	937
ページ	1-8
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record