Abstract and Applied Analysis
Volume 2004 (2004), Issue 9, Pages 723-727
doi:10.1155/S1085337504311097
Logistic equation with the p-Laplacian and constant yield harvesting
Shobha Oruganti1
, Junping Shi2
and Ratnasingham Shivaji3
1Department of Mathematics, School of Science, Penn State Erie, The Behrend College, Penn State University, 16563, PA, USA
2Department of Mathematics, College of William and Mary, Williamsburg 23187-8795, VA, USA
3Department of Mathematics and Statistics, Mississippi State University, Mississippi State 39762, MS, USA
Abstract
We consider the positive solutions of a quasilinear elliptic equation with p-Laplacian, logistic-type growth rate function, and a constant yield harvesting. We use sub-super-solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.