On the Keldys-Fichera boundary-value problem for degenerate quasilinear elliptic equations

被引：0

作者：

Chen, Zu-Chi ^{[1
]}

Xuan, Ben-Jin ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

[2] Univ Nacl Bogota, Dept Matemat, Bogota, Colombia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2002年

关键词：

Keldys-Fichera; existence; uniqueness; maximum principle; comparison principle;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness theorems for the Keldys-Fichera boundary-value problem using pseudo-monotone operators. The equation studied here is quasilinear, elliptic, and its set of degenerate points may be of non-zero measure. We also obtain comparison and maximum principles for this problem.

引用

页数：13

共 7 条

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[2]

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[3]

LADYZENSKAJA OA, 1973, LINEAR QUASILINEAR E

[4]

Lions J. L., 1969, QUELQUES METHODES RE

[5]

LIONS JL, PROBLEMS LIMITES QUA

[6]

Ma T., 1989, DIFFERENTIAL INTEGRA, V2, P379

[7]

Oleinik O. A., 1973, 2 ORDER EQUATIONS NO

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