具有耦合非线性边界条件系统的多个非负解

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

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.

第三-order 边界值问题在函数边界条件下的特征值

Eigenvalues of a third order BVP subject to functional BCs

本文研究了在函数边界条件下，第三-order 边界值问题的特征值存在性，通过经典Birkhoff-Kellogg定理的变种方法，证明了正负特征值的存在，并给出了相应特征函数的范数局部化，最后通过一个例子展示了理论结果的应用。