J Austral Math Soc Ser B 31 pp259--276, 1990.

Monotone iterations for nonlinear obstacle problem

Philip Korman, Anthony W. Leung and Srdjan Stojanovic

(Received 30 March 1988; revised 24 February 1989)

Abstract

The existence, uniqueness and regularity of solutions are proved for the obstacle problem with semilinear elliptic partial differential equations of second order. Computationally effective algorithms are provided and application made to steady state problem for the logistic population model with diffusion and an obstacle to growth.

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Authors

Philip Korman
Srdjan Stojanovic
Anthony W. Leung: Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221-0025, U.S.A.

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Last Modified: Mon Jan 14 16:50:02 2002