Estimates for the gradient of solutions to stationary degenerate Venttsel' problems

被引：0
|
作者：
Apushkinskaya D.E.
Nazarov A.I.
机构：
来源：
Journal of Mathematical Sciences | 2000年 / 98卷 / 6期
关键词：
Boundary Operator; Elliptic Operator; Stationary Degenerate; Full Gradient; Tangent Gradient;
D O I：
10.1007/BF02355382
中图分类号：
学科分类号：
摘要：
The stationary Venttsel' problem for a uniformly elliptic operator is studied. Elliptic terms of the boundary operator can degenerate, whereas the first-order terms form a nondegenerate nontangent operator. The maximum and the Hölder norm for the tangent gradient of a solution to the problem are estimated. An estimate for the Holder norm of the full gradient is also derived. © 2000 Kluwer Academic/Plenum Publishers.
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页码：654 / 673
页数：19
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