periodic solution;
Sobolev's inequality;
subconvex potential;
sublinear nonlinearity;
second order system;
coercivity;
minimizing sequence;
D O I:
10.1006/jmaa.1999.6408
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Some existence theorems are obtained by the least action principle for periodic solutions of nonautonomous second-order systems with a potential which is the sum of a subconvex function and a subquadratic function. (C) 1999 Academic Press.
机构:
Cent S Univ, Sch Mat Sci & Comp Technol, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Mat Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
Zhang, Xingyong
Zhou, Yinggao
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机构:
Cent S Univ, Sch Mat Sci & Comp Technol, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Mat Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Yuan, Rong
Zhang, Ziheng
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h-index: 0
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China