We investigate the possibility of extending a classical multiplicity result by Fabry, Mawhin and Nkashama to a periodic problem of Ambrosetti–Prodi type having a nonlinearity with possibly one or two singularities. In the second part of the paper we study the existence of periodic rotating solutions for radially symmetric systems with nonlinearities of the same type.



Titolo: On a singular periodic Ambrosetti–Prodi problem
Autori: 
FONDA, ALESSANDRO
SFECCI, ANDREA
Data di pubblicazione: 2017
Rivista: 
NONLINEAR ANALYSIS  
Abstract: We investigate the possibility of extending a classical multiplicity result by Fabry, Mawhin and Nkashama to a periodic problem of Ambrosetti–Prodi type having a nonlinearity with possibly one or two singularities. In the second part of the paper we study the existence of periodic rotating solutions for radially symmetric systems with nonlinearities of the same type.
Handle: http://hdl.handle.net/11368/2886413
Digital Object Identifier (DOI): http://dx.doi.org/10.1016/j.na.2016.10.018
URL: http://www.sciencedirect.com/science/article/pii/S0362546X16302528
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