Structure theorems for positive radial solutions to div (|Du|m-2Du)+K(|x|)uq= 0 in Rn Dedicated to Professor Takasi Kusano on his 60th birthday

Nichiro KAWANO; Eiji YANAGIDA; Shoji YOTSUTANI

doi:10.2969/jmsj/04540719

Structure theorems for positive radial solutions to div (|Du|^m-2Du)+K(|x|)u^q= 0 in Rⁿ

Dedicated to Professor Takasi Kusano on his 60th birthday

Nichiro KAWANO, Eiji YANAGIDA, Shoji YOTSUTANI

著者情報

ジャーナルフリー

1993 年 45 巻 4 号 p. 719-742

DOI https://doi.org/10.2969/jmsj/04540719

詳細

Published: 1993 Received: 1992/03/04 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文タイトル訂正内容: Wrong : Structure theorems for positive radial solutions to div (|Du|^m-2Du)+K(|x|)u^q=0 in Rⁿ
Right : Structure theorems for positive radial solutions to div (|Du|^m-2Du)+K(|x|)u^q= 0 in Rⁿ

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : [BFH] J. Batt, W. Faltenbacher and E. Horst, Stationary spherically symmetric models in stellar dynamics, Arch. Rational Mech. Anal., 93 (1986), 159-183.
[D N] W.-Y. Ding and W.-M. Ni, On the elliptic equation Δu+Ku^(n+2)/(n-2)=0 and related topics, Duke Math. J., 52 (1985), 485-506.
[KNY] N. Kawano, W.-M. Ni and S. Yotsutani, A generalized Pohozaev identity and its applications, J. Math. Soc. Japan, 42 (1990), 541-564.
[KYY] N. Kawano, E. Yanagida and S. Yotsutani, Structure theorems for positive radial solutions to Δu+K(|x|)u^p=0 in Rⁿ, Funkcial. Ekvac., to appear.
[K N] T. Kusano and M. Naito, Oscillation theory of entire solutions of second order superlinear elliptic equations, Funkcial. Ekvac., 30 (1987), 269-282.
[L N] Y. Li and W.-M. Ni, On conformal scalar curvature equation in Rⁿ, Duke Math. J., 57 (1988), 895-924.
[N Y] W.-M. Ni and S. Yotsutani, Semilinear elliptic equations of Matukuma-type and related topics, Japan J. Appl. Math., 5 (1988), 1-32.
[Y1] E. Yanagida, Structure of positive radial solutions of Matukuma's equation, Japan J. Indust. Appl. Math., 8 (1991), 165-173.
[Y2] E. Yanagida, Uniqueness of positive radial solutions of Δu+g(r)u+h(r)u^p=0 in Rⁿ, Arch. Rational. Mech. Anal., 115 (1991), 257-274.

Right : [BFH] J. Batt, W. Faltenbacher and E. Horst, Stationary spherically symmetric models in stellar dynamics, Arch. Rational Mech. Anal., 93 (1986), 159-183.
[DN] W. -Y. Ding and W. -M. Ni, On the elliptic equation Δu+Ku^(n+2)/(n-2)=0 and related topics, Duke Math. J., 52 (1985), 485-506.
[KNY] N. Kawano, W. -M. Ni and S. Yotsutani, A generalized Pohozaev identity and its applications, J. Math. Soc. Japan, 42 (1990), 541-564.
[KYY] N. Kawano, E. Yanagida and S. Yotsutani, Structure theorems for positive radial solutions to Δu+K(|x|)u^p=0 in Rⁿ, Funkcial. Ekvac., to appear.
[KN] T. Kusano and M. Naito, Oscillation theory of entire solutions of second order superlinear elliptic equations, Funkcial. Ekvac., 30 (1987), 269-282.
[LN] Y. Li and W. -M. Ni, On conformal scalar curvature equation in Rⁿ, Duke Math. J., 57 (1988), 895-924.
[NY] W. -M. Ni and S. Yotsutani, Semilinear elliptic equations of Matukuma-type and related topics, Japan J. Appl. Math., 5 (1988), 1-32.
[Y1] E. Yanagida, Structure of positive radial solutions of Matukuma's equation, Japan J. Indust. Appl. Math., 8 (1991), 165-173.
[Y2] E. Yanagida, Uniqueness of positive radial solutions of Δu+g(r)u+h(r)u^p=0 in Rⁿ, Arch. Rational. Mech. Anal., 115 (1991), 257-274.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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