Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems

Ken-ichi Kamo


Statistics and Cancer Control Division, Research Center for Cancer Prevention and Screening, National Cancer Center 5-1-1 Tsukiji Chuo-ku, Tokyo 104-0045, Japan


 This paper is concerned with the problem of asymptotic equivalence for positive rapidly decaying solutions of a class
of second order quasilinear ordinary differential equations. Its application to exterior Dirichlet problems is also given.

AMSclassification.  34D05, 35D05.

Keywords.  Quasilinear differential equations, rapidly decaying solutions, asymptotic equivalence.