Reliable solution of a quasilinear nonpotential elliptic problem of a nonmonotone type with respect to the uncertainty in coefficients

被引:18
作者
Hlavacek, I
机构
[1] Mathematical Institute, Acad. of Sci. of the Czech Republic, 115 67 Prague 1
关键词
D O I
10.1006/jmaa.1997.5518
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A quasilinear elliptic equation with mired nonlinear boundary conditions is considered. where the admissible coefficients are given in a certain interval. We are looking for maximal values of the solution with respect to the set of admissible coefficients. The existence of a maximal solution is proven both in the continuous and in a discretized formulation. Some convergence analysis is also presented. (C) 1997 Academic Press.
引用
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页码:452 / 466
页数:15
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