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arXiv · 1707.02835

Nonzero positive solutions of a multi-parameter elliptic system with functional BCs

Gennaro Infante
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Abstract

We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of multi-point, integral and nonlinear boundary conditions. We also present a non-existence result. We provide some examples to illustrate the applicability our theoretical results.

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Gennaro Infante. 2017-07-12. Nonzero positive solutions of a multi-parameter elliptic system with functional BCs. https://doi.org/10.12775/tmna.2017.060

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