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Characterization of slowly decaying positive solutions of second‐order quasilinear ordinary differential equations with sub‐homogeneity
Author(s) -
Kamo Kenichi,
Usami Hiroyuki
Publication year - 2010
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdq004
Subject(s) - mathematics , homogeneity (statistics) , ordinary differential equation , mathematical analysis , characterization (materials science) , differential equation , statistics , physics , optics
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.