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arXiv · 1606.03602

New results for the Liebau phenomenon via fixed point index

José Ángel Cid·Gennaro Infante·Milan Tvrdý·Mirosława Zima
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Abstract

We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model. Our methodology relies on the use of classical fixed point index. Some examples are provided to illustrate our theory. We improve and complement previous results in the literature.

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José Ángel Cid, Gennaro Infante, Milan Tvrdý, Mirosława Zima. 2016-06-11. New results for the Liebau phenomenon via fixed point index. https://doi.org/10.1016/j.nonrwa.2016.11.009

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