On a singular periodic Ambrosetti-Prodi problem

被引：26

作者：

Fonda, Alessandro ^{[1
]}

Sfecci, Andrea ^{[2
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Geosci, Ple Europa 1, I-34127 Trieste, Italy

[2] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche 12, I-60131 Ancona, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 149卷

关键词：

Periodic solutions; Multiplicity results; Lower and upper solutions; Singularities; Rotating solutions; MULTIPLICITY RESULT; PERTURBATIONS; EQUATIONS; SYSTEMS; ORBITS;

D O I：

10.1016/j.na.2016.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：146 / 155

页数：10

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