UNIQUENESS OF FINITE TOTAL CURVATURES AND THE STRUCTURE OF RADIAL SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS

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题名:	UNIQUENESS OF FINITE TOTAL CURVATURES AND THE STRUCTURE OF RADIAL SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS
作者:	Chern,JL;Chen,ZY;Tang,YL
贡献者:	數學系
关键词:	POSITIVE SOLUTIONS;MATUKUMA-TYPE;DELTA-U;R(N);DELTA-U+F(U)=0;EXISTENCE
日期:	2011
上传时间:	2012-03-27 18:25:20 (UTC+8)
出版者:	國立中央大學
摘要:	In this article, we are concerned with the semilinear elliptic equation Delta u + K(\|x\|)\|u\|(p-1)u = 0 in R(n)\{0}, where n > 2, p > 1, and K(\|x\|) > 0 in R(n). The correspondence between the initial values of regularly positive radial solutions of the above equation and the associated finite total curvatures will be derived. In addition, we also conduct the zeros of radial solutions in terms of the initial data under specific conditions on K and p. Furthermore, based on the Pohozaev identity and openness for the regions of initial data corresponding to certain types of solutions, we obtain the whole structure of radial solutions depending on various situations.
關聯:	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
显示于类别:	[數學系] 期刊論文

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