Zu-Chi Chen & Ben-Jin Xuan
Abstract:
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.
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Zu-Chi Chen Department of Mathematics University of Science and Technology of China Hefei, Anhui 230026, P. R. China Email: chenzc@ustc.edu.cn |
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Benjin Xuan Department of Mathematics University of Science and Technology of China and Dept. de Matematicas, Universidad Nacional Bogota, Colombia e-mail: wenyuanxbj@yahoo.com |
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