Nonzero positive solutions of a multi-parameter elliptic system with functional BCs

Gennaro Infante



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.


Positive solution; elliptic system; functional boundary condition; cone; fixed point index

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