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    NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Item 987654321/51223


    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:[數學系] 期刊論文

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