关于带p-拉普拉斯算子的三点边值问题的无穷多个正解的存在性

2010 2nd International Conference on Computer Engineering and Technology Pub Date : 2010-06-17 DOI:10.1109/ICCET.2010.5485233

Hongling Fan, Fuyi Xu

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引用次数: 0

摘要

本文考虑三点边值问题(φp(u'))' + a(t)f(u) = 0,0 p(u) = |u|p-2u, p > 1，服从非线性边界条件。利用不动点定理证明了锥上存在正解和数个正解。

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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Notice of RetractionThe existence of infinitely many positive solutions for three-point boundary value problem with p-Laplacian

In this paper, we consider three-point boundary value problem (φ_p(u'))' + a(t)f(u) = 0, 0 <; t <; 1 where φ_p(u) = |u|^p-2u, p > 1, subject to nonlinear boundary conditions. We show that there exist positive solution and countably many positive solutions by fixed point theorems in a cone.

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来源期刊

2010 2nd International Conference on Computer Engineering and Technology

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