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Positive solutions for Neumann problems with indefinite and unbounded potential |
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| Affiliation: | 1. National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia |
| Abstract: | We consider semilinear Neumann equations with an indefinite and unbounded potential. We establish the existence and uniqueness of positive solutions. We show that our setting incorporates as special cases several parametric equations of interest (such as the equidiffusive logistic equation). |
| Keywords: | Positive solutions Maximum principle Picone’s identity Indefinite and unbounded potential Logistic equation |
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