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arXiv · 1606.09103

Nonzero radial solutions for elliptic systems with coupled functional BCs in exterior domains

Filomena Cianciaruso·Gennaro Infante·Paolamaria Pietramala
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Abstract

We prove new results on the existence, non-existence, localization and multiplicity of nontrivial radial solutions of a system of elliptic boundary value problems on exterior domains subject to nonlocal, nonlinear, functional boundary conditions. Our approach relies on fixed point index theory. As a by-product of our theory we provide an answer to an open question posed by do {Ó}, Lorca, Sánchez and Ubilla. We include some examples with explicit nonlinearities in order to illustrate our theory.

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Filomena Cianciaruso, Gennaro Infante, Paolamaria Pietramala. 2017-01-17. Nonzero radial solutions for elliptic systems with coupled functional BCs in exterior domains. https://doi.org/10.1017/s0013091518000706

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