Characterization of slowly decaying positive solutions of second‐order quasilinear ordinary differential equations with sub‐homogeneity
Characterization of slowly decaying positive solutions of second‐order quasilinear ordinary differential equations with sub‐homogeneity
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DOI：
10.1112/blms/bdq004
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发表时间：
2010-06
影响因子：
0.9
通讯作者：
K. Kamo;H. Usami
中科院分区：
文献类型：
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作者：
K. Kamo;H. Usami
我们考虑在无穷远处具有次齐次项的拟线性常微分方程。得到了该方程存在慢衰减正解的一个充分必要条件。建立了这类正解的渐近形式。作为这些结果的应用，我们得到了拟线性椭圆问题的Liouville型定理。
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.