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Applications of Riccati-type inequalities to asymptotic theory of elliptic problems

Published online by Cambridge University Press:  21 September 2009

Hiroyuki Usami
Hiroyuki Usami
Affiliation:
Department of Mathematics, Graduate School of Science, Hiroshima University, Highashi-Hiroshima 739-8521, Japan ([email protected])
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Abstract

We show how one-dimensional generalized Riccati-type inequalities can be employed to analyse asymptotic behaviour of solutions of elliptic problems. We give Liouville-type theorems as well as necessary conditions for the existence of solutions of specified asymptotic behaviour of nonlinear elliptic problems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 5 , October 2009 , pp. 1071 - 1089
Copyright
Copyright © Royal Society of Edinburgh 2009

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