Positive solutions of singular three-point boundary value problems for the One-dimensional p-Laplacian
Positive solutions of singular three-point boundary value problems for the One-dimensional p-Laplacian
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DOI：
10.1016/j.camwa.2003.08.011
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发表时间：
2004-09
影响因子：
2.9
通讯作者：
Bing Liu
中科院分区：
文献类型：
--
作者：
Bing Liu
本文利用不动点指数理论证明了奇异三点边值问题，其中φp（s）=| S| p−2s，p2，0 <$β < 1，0 < η < 1，<$C（[O，+∞），[0，+∞）），a∈C（（0，1），[0，+∞）），且a（t）允许在（0，1）的端点处有奇点。我们的结果的应用，给出了一些偏微分方程边值问题的环上的径向正解。作为应用，我们也给出了一些例子来证明我们的结果。
We use the fixed-point index theory to establish the existence of at least one or two positive solutions for the singular three-point boundary value problems ,, where φp(s) = |s|p−2s, p2, 0 ⪯ β < 1, 0 < η < 1, ƒC([O,+∞), [0,+∞)), a∈C((0,1), [0, +∞ )), and a(t) is allowed to have a singularity at the endpoints of (0, 1). Applications of our results are provided to yield positive radial solutions of some partial differential equations boundary value problems on an annulus. As an application, we also give some examples to demonstrate our results.