Pseudo-monotonicity and degenerated or singular elliptic operators

被引:40
作者
Drabek, P
Kufner, A
Mustonen, V
机构
[1] Univ W Bohemia, Dept Math, Plzen 30614, Czech Republic
[2] Univ Oulu, Dept Math Sci, FIN-90570 Oulu, Finland
[3] Acad Sci Czech Republ, Inst Math, CR-11567 Prague, Czech Republic
关键词
D O I
10.1017/S0004972700032184
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using the compactness of an imbedding for weighted Sobolev spaces (that is, a Hardy-type inequality), it is shown how the assumption of monotonicity can be weakened still guaranteeing the pseudo-monotonicity of certain nonlinear degenerated or singular elliptic differential operators. The result extends analogous assertions for elliptic operators.
引用
收藏
页码:213 / 221
页数:9
相关论文
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[2]  
Gossez J.-P., 1993, Differ.Integral Equ., V6, P37
[3]  
MUSTONEN V, 1996, LECT NOTES PURE APPL, V178, P215
[4]  
Opic B., 1990, Pitman Research Notes in Mathematics Series, V219