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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Subharmonic solutions of conservative systems with nonconvex potentials


Authors: A. Fonda and A. C. Lazer
Journal: Proc. Amer. Math. Soc. 115 (1992), 183-190
MSC: Primary 34C25; Secondary 34B15, 47H15, 58F22, 70K40
MathSciNet review: 1087462
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Abstract | References | Similar Articles | Additional Information

Abstract: We consider the system of second order differential equations

$\displaystyle u'' + \nabla G(u) = e(t) \equiv e(t + T),$

, where the potential $ G:{\mathbb{R}^n} \to \mathbb{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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1087462-X
PII: S 0002-9939(1992)1087462-X
Keywords: Critical point, Saddle Point Theorem, Palais-Smale condition
Article copyright: © Copyright 1992 American Mathematical Society