Document Zbl 1133.35370

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Logistic equation with the \(p\)-Laplacian and constant yield harvesting. (English) Zbl 1133.35370

Abstr. Appl. Anal. 2004, No. 9, 723-727 (2004).

Summary: 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.

Cited in 28 Documents

MSC:

35J65	Nonlinear boundary value problems for linear elliptic equations
35J25	Boundary value problems for second-order elliptic equations
92D25	Population dynamics (general)

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