We prove, by topological methods, new results on the existence of nonzeropositive weak solutions for a class of multi-parameter second order ellipticsystems subject to functional boundary conditions. The setting is fairlygeneral and covers the case of multi-point, integral and nonlinear boundaryconditions. We also present a non-existence result. We provide some examples toillustrate the applicability our theoretical results.
Nonzero positive solutions of a multi-parameter elliptic system with functional BCs
INFANTE, GENNARO
2018-01-01
Abstract
We prove, by topological methods, new results on the existence of nonzeropositive weak solutions for a class of multi-parameter second order ellipticsystems subject to functional boundary conditions. The setting is fairlygeneral and covers the case of multi-point, integral and nonlinear boundaryconditions. We also present a non-existence result. We provide some examples toillustrate the applicability our theoretical results.File in questo prodotto:
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