SUBHARMONIC SOLUTIONS OF CONSERVATIVE-SYSTEMS WITH NONCONVEX POTENTIALS

被引：33
|
作者：
FONDA, A [1 ]
LAZER, AC [1 ]
机构：
[1] UNIV MIAMI,DEPT MATH & COMP SCI,CORAL GABLES,FL 33124
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 01期
关键词：
CRITICAL POINT; SADDLE POINT THEOREM; PALAIS-SMALE CONDITION;
D O I：
10.2307/2159584
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the system of second order differential equations u" + del G(u) = e(t) = e(t + T), where the potential G: R(n) --> R is not necessarily convex. Using critical point theory, we give conditions under which the system has infinitely many subharmonic solutions.
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页码：183 / 190
页数：8
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