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arXiv · 1407.0192

Positive solutions to logistic type equations with harvesting

Pedro M. Girão·Hossein Tehrani
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Abstract

We use comparison principles, variational arguments and a truncation method to obtain positive solutions to logistic type equations with harvesting both in $\mathbb{R}^N$ and in a bounded domain $\Omega\subset\mathbb{R}^N$, with $N\geq 3$, when the carrying capacity of the environment is not constant. By relaxing the growth assumption on the coefficients of the differential equation we derive a new equation which is easily solved. The solution of this new equation is then used to produce a positive solution of our original problem.

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Pedro M. Girão, Hossein Tehrani. 2014-07-01. Positive solutions to logistic type equations with harvesting. https://doi.org/10.1016/j.jde.2009.02.008

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