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

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51223

Title:	UNIQUENESS OF FINITE TOTAL CURVATURES AND THE STRUCTURE OF RADIAL SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS
Authors:	Chern,JL;Chen,ZY;Tang,YL
Contributors:	數學系
Keywords:	POSITIVE SOLUTIONS;MATUKUMA-TYPE;DELTA-U;R(N);DELTA-U+F(U)=0;EXISTENCE
Date:	2011
Issue Date:	2012-03-27 18:25:20 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Relation:	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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