Generalizations of Ekeland-Hofer and Hofer-Zehnder Symplectic Capacities and Applications

被引：0
|
作者：
Jin, Rongrong [1 ]
Lu, Guangcun [2 ]
机构：
[1] Civil Aviat Univ China, Dept Math, Tianjin 300300, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 07期
关键词：
Ekeland-Hofer symplectic capacity; Hofer-Zehnder symplectic capacity; Weinstein conjecture; PERIODIC-SOLUTIONS; HAMILTONIAN-SYSTEMS; THEOREM; HYPERSURFACES; TOPOLOGY; CURVES;
D O I：
10.1007/s12220-023-01278-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we construct analogues of the Ekeland-Hofer and the Hofer-Zehnder symplectic capacities based on a class of Hamiltonian boundary value problems motivated by Clarke ' s and Ekeland's work, and study generalizations of some important results about the original two capacities (for example, the famous Weinstein conjecture, representation formula for cEH and cHZ, and a theorem by Evgeni Neduv).
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