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- Title
Characterization of slowly decaying positive solutions of second-order quasilinear ordinary differential equations with sub-homogeneity.
- Authors
Kamo, Ken-ichi; Usami, Hiroyuki
- Abstract
We consider quasilinear ordinary differential equations with sub-homogeneity near infinity. A necessary and sufficient condition is obtained for the equations to have slowly decaying positive solutions. Asymptotic forms of such positive solutions are established. As an application of these results, we obtain Liouville-type theorems for quasilinear elliptic problems.
- Subjects
DIFFERENTIAL equations; NUMERICAL solutions to Sturm-Liouville equations; CALCULUS; QUASILINEARIZATION; MATHEMATICS
- Publication
Bulletin of the London Mathematical Society, 2010, Vol 42, Issue 3, p420
- ISSN
0024-6093
- Publication type
Article
- DOI
10.1112/blms/bdq004