Multiple and Nodal Solutions for a Class of Nonlinear, Nonhomogeneous Periodic Eigenvalue Problems
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- 作者：Evgenia H. Papageorgiou
- 关键词：Mountain pass theorem ; Local minimizers ; Positive solutions ; Nodal solutions
- 刊名：Differential Equations and Dynamical Systems
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：24
- 期：4
- 页码：499-517
- 全文大小：515 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
- 出版者：Springer India
- ISSN：0974-6870
- 卷排序：24
文摘
We consider a nonlinear parametric periodic problem driven by a nonhomogeneous differential operator. We assume that the reaction is (p \(-\) 1)-superlinear near \({\pm }\infty \) (without satisfying the AR-condition) and exhibits concave terms near the origin. We show the existence of five nontrivial solutions providing sign information for all of them.