Existence and multiplicity of positive periodic solutions to Minkowski-curvature equations without coercivity condition

被引：6

作者：

Yu, Xingchen ^{[1
]}

Lu, Shiping ^{[1
]}

Kong, Fanchao ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

[2] Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Anhui, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Minkowski-curvature equation; Periodic solution; Degree theory; Upper and lower functions;

D O I：

10.1016/j.jmaa.2021.125840

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence, non-existence and multiplicity of positive periodic solutions to a class of Minkowski-curvature equations with indefinite attractive singularities. A multiplicity result of Ambrosetti-Prodi type is established using a new method of construction of lower functions and some properties of Leray-Schauder degree.(c) 2021 Elsevier Inc. All rights reserved.

引用

页数：15

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