关于制动轨道问题中的相对范畴

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2023-03-04 DOI:10.12775/tmna.2022.057

Dario Corona, R. Giambò, F. Giannoni, P. Piccione

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引用次数: 0

摘要

在本文中，Edward Fadell和Sufian Husseiniwe展示了Lusternik-Schnirelmann相对范畴的概念如何用于研究势阱中制动轨道的多重性问题，该势阱同胚于$N$维单位圆盘。Fadell和Husseini在第三作者访问威斯康星大学麦迪逊分校时向他展示了在$（N-1）$单位球面上具有端点的一组和弦的相对类别的估计。

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On the relative category in the brake orbits problem

In this paper %dedicated to the memory of Edward Fadell and Sufian Husseini we show how the notion of the Lusternik-Schnirelmann relative category can be used to study a multiplicity problem for brake orbits in a potential well which is homeomorphic to the $N$-dimensional unit disk. The estimate of the relative category of the set of chords with endpoints on the $(N-1)$-unit sphere was shown to the third author by Fadell and Husseini while he was visiting the University of Wisconsin at Madison.

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来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.