Fathi, Albert A weak KAM theorem and Mather’s theory of Lagrangian systems. (Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens.) (French) Zbl 0885.58022 C. R. Acad. Sci., Paris, Sér. I 324, No. 9, 1043-1046 (1997). The author gives a weak version of the Kolmogorov-Arnold-Moser theorem in the framework of Mather’s theory of Lagrangian systems. A particular case has already been established by J. L. Lions, G. C. Papanicolaou and by S. Varadhan. Reviewer: Y.Kozai (Tokyo) Cited in 5 ReviewsCited in 116 Documents MSC: 37J50 Action-minimizing orbits and measures (MSC2010) 37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion 35F20 Nonlinear first-order PDEs Keywords:KAM theory; Mather theory; Lagrangian systems PDF BibTeX XML Cite \textit{A. Fathi}, C. R. Acad. Sci., Paris, Sér. I 324, No. 9, 1043--1046 (1997; Zbl 0885.58022) Full Text: DOI OpenURL