Poisson-Gradient Dynamical Systems with Convex Potential

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The basic aim is to extend some results and concepts of non-autonomous second order differential systems with convex potentials to the new context of multi-time Poisson-gradient PDE systems with convex potential. In this sense, we prove that minimizers of a suitable action functional are multiple periodical solutions of a Dirichlet problem associated to the Euler-Lagrange equations. Automatically, these are solutions of the associated multi-time Hamiltonian equations.
Proceedings of The 3-rd International Colloquium "Mathematics in Engineering and Numerical Physics", October 7-9, 2004, University Politehnica of Bucharest, BSG Proceedings 12, Geometry Balkan Press (2005), 128-136

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Dynamical Systems, Analysis of PDEs, 35J50, 35J55

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http://salesiana.dossiersoluciones.com/handle/123456789/103822

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510565
 http://arxiv.org/abs/math/0510565
 Proceedings of The 3-rd International Colloquium "Mathematics in Engineering and Numerical Physics", October 7-9, 2004, University Politehnica of Bucharest, BSG Proceedings 12

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