渐近p-线性边值问题的比较原理及其应用

Pub Date : 2015-04-01 DOI:10.18910/57658

D. D. Hai

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引用次数: 6

摘要

而不需要在……这里表示的是外单位法向量。需要注意的是，在以前的文献中(例如[9]及其参考文献)需要假设f g和f¥g。我们还提供了一类具有渐近线性非线性的正弦正则p- laplace边值问题正解存在性的一个应用。设d(x) d(x，↓)为x到↓的距离，证明如下结果:

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A COMPARISON PRINCIPLE AND APPLICATIONS TO ASYMPTOTICALLY p-LINEAR BOUNDARY VALUE PROBLEMS

without requiring that f g a.e. in. Here denotes the outer unit normal vector on . It should be noted that the assumptions f g and f ¥ g in are needed in previous literature (see e.g. [9] and the references therei n). We also provide an application to the existence of positive solutions for a class of sin gular p-Laplacian boundary value problems with asymptoticallyp-linear nonlinearity. Let d(x) D d(x, ) be the distance fromx to , we prove the following result:

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