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

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2015-04-01 DOI:10.18910/57658

D. D. Hai

引用次数: 6

Abstract

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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渐近p-线性边值问题的比较原理及其应用

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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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.