收稿日期: 2012-12-25
修回日期: 2013-04-08
网络出版日期: 2014-01-15
基金资助
国家自然科学基金（11171341，11101404）资助
Positive solutions to Kirchhoff-type problem with singular nonlinearity
Received date: 2012-12-25
Revised date: 2013-04-08
Online published: 2014-01-15
考虑如下问题：
其中，a，b>0，1<p<+∞，f是定义在Ω上的非负可测函数. 给出了该问题有弱解的充分必要条件.
关键词： Kirchhoff型问题; 正解; Ekeland变分原理
曹小强 , 孙义静 . 一类奇异非线性Kirchhoff型问题的正解[J]. 中国科学院大学学报, 2014 , 31(1) : 5 -9 . DOI: 10.7523/j.issn.2095-6134.2014.01.002
We consider the following problem:
where a>0,b>0,1<p<+∞, and f is a positive and measurable function defined on Ω. The necessary and sufficient condition for the existence of weak solutions to such a Kirchhoff-type problem is given.
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