Title: Nonzero positive solutions of a multi-parameter elliptic system with functional BCs,
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.