On the Keldys-Fichera Boundary-value Problem for Degenerate Quasilinear Elliptic Equations
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Date
2002-10-10
Authors
Chen, Zu-Chi
Xuan, Benjin
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Keldys-Fichera, Existence, Uniqueness, Maximum principle, Comparison principle
Citation
Chen, Z. C., & Xuan, B. J. (2002). On the Keldys-Fichera boundary-value problem for degenerate quasilinear elliptic equations. <i>Electronic Journal of Differential Equations, 2002</i>(87), pp. 1-13.
Rights
Attribution 4.0 International