PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS HAMILTONIAN SYSTEMS WITH p(t)-LAPLACIAN

被引：0
|
作者：
Wang, Zhiyong [1 ]
Qian, Zhengya [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Dept Math, Nanjing 210044, Jiangsu, Peoples R China
来源：
MATHEMATICA BOHEMICA | 2024年 / 149卷 / 02期
基金：
中国国家自然科学基金;
关键词：
auxiliary functions; p(t)-Laplacian systems; periodic solution; (C) condition; generalized mountain pass theorem; SUBHARMONIC SOLUTIONS; EXISTENCE;
D O I：
10.21136/MB.2023.0096-22
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the existence of infinitely many periodic solutions for the p(t)-Laplacian Hamiltonian systems. By virtue of several auxiliary functions, we obtain a series of new super -p(+) growth and asymptotic -p+ growth conditions. Using the minimax methods in critical point theory, some multiplicity theorems are established, which unify and generalize some known results in the literature. Meanwhile, we also present an example to illustrate our main results are new even in the case p(t) = p = 2.
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页码：185 / 208
页数：25
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