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Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems

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Abstract

In this paper we consider positive unbounded solutions of second order quasilinear ordinary differential equations. Our objective is to determine the asymptotic forms of unbounded solutions. An application to exterior Dirichlet problems is also given.

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Authors and Affiliations

  1. Division of Mathematics, School of Medicine, Liberal Arts and Sciences, Sapporo Medical University, S1W17, Chuoku, Sapporo, 060-8543, Japan

    Ken-ichi Kamo

  2. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

    Hiroyuki Usami

Authors
  1. Ken-ichi Kamo
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  2. Hiroyuki Usami
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Correspondence to Ken-ichi Kamo.

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Kamo, Ki., Usami, H. Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems. Czech Math J 58, 1153–1165 (2008). https://doi.org/10.1007/s10587-008-0076-x

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  • DOI: https://doi.org/10.1007/s10587-008-0076-x

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