外区域上具有耦合泛函BC的椭圆型方程组的非零径向解
Nonzero radial solutions for elliptic systems with coupled functional BCs in exterior domains
摘要：
证明了一类具有非局部、非线性、泛函边界条件的椭圆型边值问题的非平凡径向解的存在性、非存在性、局部性和多重性.我们的方法依赖于不动点指数理论。作为我们的理论的副产品，我们提供了一个开放的问题所提出的答案做{}，洛尔卡，桑切斯和Ubilla。为了说明我们的理论，我们包括一些例子与明确的非线性。
英文摘要：
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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