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Applications of Riccati-type inequalities to asymptotic theory of elliptic problems
Published online by Cambridge University Press: 21 September 2009
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