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

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...

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Bibliographic Details
Published in:Electronic journal of differential equations 2002-10, Vol.2002 (87), p.1-13
Main Authors: Zu-Chi Chen, Benjin Xuan
Format: Article
Language:English
Subjects:
comparison principle
existence
Keldys-Fichera
maximum principle
uniqueness
Online Access:Get full text
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Summary: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. Submitted April 27, 2002. Published October 10, 2002. Math Subject Classifications: 35J65, 35J30. Key Words: Keldys-Fichera; existence; uniqueness; maximum principle; comparison principle.
ISSN:1072-6691