Abstract and Applied Analysis · 2004 · 37 citations · 5 references
AgricultureAgricultural EconomicsHarvest ManagementOptimal HarvestingElliptic Partial Differential EquationsLogistic Population GrowthPopulation Harvesting Models
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.
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Nonlinear Differential Equations.
L. E. Payne, T. V. Davies, Eleanor M. James · American Mathematical Monthly · 1968 · 39 citations