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 of our theoretical results.
"Nonzero positive solutions of a multi-parameter elliptic system with functional BCs." Topol. Methods Nonlinear Anal. 52 (2) 665 - 675, 2018. https://doi.org/10.12775/TMNA.2017.060