一类具有时间奇点的二阶非线性Dirichlet问题的正解

应用泛函分析学报 Pub Date : 2012-01-01 DOI:10.3724/SP.J.1160.2012.00008

Y. Qing-liu

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引用次数: 0

摘要

利用Hammastein积分方程和锥上不动点定理，建立了具有时间奇点的二阶非线性Dirichlet问题的三个局部存在性定理。主要结果表明，在n为任意正整数的有界集合上，当非线性项的主部高度合适时，问题有n个正解。

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Positive Solutions to a Class of Second-Order Nonlinear Dirichlet Problems with Time Singularity

Three local existence theorems are established for a second-order nonlinear Dirichlet problem with time singularity by using Hammastein integral equation and fixed point theorem on cone.Main results show that the problem has n positive solutions provided the heights of principal part of nonlinear term on some bounded sets are appropriate,where n is an arbitrary positive integer.

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应用泛函分析学报

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