RT Journal Article
T1 Multiplicity Results for Operator Systems via Fixed Point Index
A1 Precup, Radu
A1 Rodríguez López, Jorge
K1 Fixed point index
K1 Positive solution
K1 Operator equation
K1 Hammerstein systems
K1 φ-Laplace equations
AB We establish existence, localization and multiplicity results of positive solutions for general operator systems in ordered Banach spaces. Our main tool is the fixed point index in cones which we compute in suitable relatively open sets. In this context, each component of the fixed point operator can satisfy either the expansion condition or the compression condition. If some component of the operator is expansive, then we obtain multiplicity results. As an application, new results concerning systems of Hammerstein equations and systems of -Laplace equations are deduced.
PB Springer
YR 2019
FD 2019
LK https://hdl.handle.net/10347/44510
UL https://hdl.handle.net/10347/44510
LA eng
NO Precup, R., Rodríguez-López, J. Multiplicity Results for Operator Systems via Fixed Point Index. Results Math 74, 25 (2019). https://doi.org/10.1007/s00025-019-0955-5
NO Jorge Rodríguez-López was financially supported by Xunta de Galicia Scholarship ED481A-2017/178.
DS Minerva
RD 8 jun 2026