摘要
本文研究一类带Neumann边值条件的非线性微分算子.利用Wirtinger不等式,比较定理,最大值原理以及上下解方法得到了该算子的双射性和逆算子的正性结论.
In this paper, a nonlinear differential operator with Neumann boundary condition is considered. Wirtinger inequality, comparison theorem, maximum principle and lower and upper solutions method are employed to establish the bijective and the inverse-positive results for this operator.
出处
《数学杂志》
CSCD
北大核心
2009年第4期424-428,共5页
Journal of Mathematics
基金
supported by Nature Science Foundation of Education Committeeof Hubei Province Q20091107
WUST(2008RC01)