Positive solutions to logistic type equations with harvesting |
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Authors: | Pedro Girão Hossein Tehrani |
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Institution: | a IST, Av. Rovisco Pais, 1049-001 Lisbon, Portugal b University of Nevada, Las Vegas, NV 89154-4020, USA |
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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 RN and in a bounded domain Ω⊂RN, with N?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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Keywords: | 35J65 35J25 92D25 35B05 |
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