Subharmonic solutions of conservative systems with nonconvex potentials
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- by A. Fonda and A. C. Lazer PDF
- Proc. Amer. Math. Soc. 115 (1992), 183-190 Request permission
Abstract:
We consider the system of second order differential equations \[ u'' + \nabla G(u) = e(t) \equiv e(t + T),\], 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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 183-190
- MSC: Primary 34C25; Secondary 34B15, 47H15, 58F22, 70K40
- DOI: https://doi.org/10.1090/S0002-9939-1992-1087462-X
- MathSciNet review: 1087462