caa a22 4500 606194177 CHVBK 20210128100913.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00030-015-0311-8 doi (NATIONALLICENCE)springer-10.1007/s00030-015-0311-8 Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains [Elektronische Daten] [Gennaro Infante, Paolamaria Pietramala] We provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations. Some of the criteria involve a comparison with the spectral radii of some associated linear operators. We apply our results to prove the existence of multiple nonzero radial solutions for some systems of elliptic boundary value problems subject to nonlocal boundary conditions. Our approach is topological and relies on the classical fixed point index. We present an example to illustrate our theory. Springer Basel, 2015 Elliptic system nationallicence Annular domain nationallicence Radial solution nationallicence Multiplicity nationallicence Non-existence nationallicence Spectral radius nationallicence Cone nationallicence Nontrivial solution nationallicence Nonlocal boundary conditions nationallicence Fixed point index nationallicence Infante Gennaro Dipartimento di Matematica e Informatica, Università della Calabria, Arcavacata di Rende, 87036, Cosenza, Italy aut Pietramala Paolamaria Dipartimento di Matematica e Informatica, Università della Calabria, Arcavacata di Rende, 87036, Cosenza, Italy aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 979-1003 1021-9722 22:4<979 2015 22 30 https://doi.org/10.1007/s00030-015-0311-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0311-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Infante Gennaro Dipartimento di Matematica e Informatica, Università della Calabria, Arcavacata di Rende, 87036, Cosenza, Italy aut NATIONALLICENCE 700 1- Pietramala Paolamaria Dipartimento di Matematica e Informatica, Università della Calabria, Arcavacata di Rende, 87036, Cosenza, Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 979-1003 1021-9722 22:4<979 2015 22 30