Electronic Journal of Differential Equations (Oct 2002)

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

  • Zu-Chi Chen,
  • Benjin Xuan

Journal volume & issue
Vol. 2002, no. 87
pp. 1 – 13

Abstract

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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.

Keywords