Positive solutions to logistic type equations with harvesting

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 $N\ge 3$, 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.

Cited by in corpus (2)

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