Existence and Localization of Solution for Second Order Elliptic BVP in Presence of Lower and Upper Solutions without Any Order
Existence and Localization of Solution for Second Order Elliptic BVP in Presence of Lower and Upper Solutions without Any Order
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DOI：
10.1006/jdeq.1998.3423
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发表时间：
1998-05
影响因子：
2.4
通讯作者：
C. Coster;Marc Henrard
中科院分区：
文献类型：
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作者：
C. Coster;Marc Henrard
本文证明了一类二阶椭圆型方程在Dirichlet和正则斜微商边界条件下解的存在性和局部化结果。主要结果是假定方程右端成员存在无特定阶的上下解和正齐次渐近性态。
Abstract We prove an existence and localization result for a solution of a second order elliptic equations with Dirichlet and regular oblique derivative boundary conditions. The main result is obtained assuming the existence of a lower and an upper solution without particular order and a positively homogeneous asymptotic behaviour of the right hand member of the equation.