The structure of the set of 1-node solutions of a class of degenerate BVP's

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Lopez-Gomez, J.^1,2  Rabinowitz, P. H.³ 

[1] Univ Complutense Madrid, Inst Interdisciplinar Math IMI, Madrid 28040, Spain

[2] Univ Complutense Madrid, Dept Anal & Appl Math, Madrid 28040, Spain

[3] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

关键词: Degenerate BVP's;    Solutions with one interior node;    Global topological structure;    Number of components;   

DOI  :  10.1016/j.jde.2019.10.040

来源: Elsevier

【 摘 要 】

A recent study, [12], [13], of a class of degenerate BVP's showed that there were two possibilities for the structure of the set of 1-node solutions. Left open was the question of whether each one was possible. Using some elementary phase plane techniques combined with some comparison arguments obtained from the maximum principle, this paper constructs examples showing that indeed each can occur. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free