A weak KAM theorem and Mather's theory of Lagrangian systems;Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 9, 1997, Pages 1043-1046

  Fathi, Albert ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031138612     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(97)87883-4     Document Type: Article

References (6)

1. [1] E. W. N., 1991. A class of homogenization problems in the calculus of variations, Comm. Pure Appl. Math., 44, p. 733-759.
2. [2] Fleming W. H., 1969. The Cauchy problem for a nonlinear first order partial differential equation, J. Differential Equations, 5, p. 515-530.
3. [3] Goebel K. et Kirk W. A., 1990. Topics in metric fixed point theory, Cambridge stud. in ad. math. 28, Cambridge Univ. Press, Cambridge.
4. [4] Lions P. L., Papanicolaou G. et Varadhan S. R. S., 1987. Homogenization of Hamilton-Jacobi equation, preprint non publié.
5. [5] Mañé R., 1993. Generic properties and problems of minimizing measures of Lagrangian systems, preprint (à paraître).
6. [6] Mather J. N., 1991. Action minimizing measures for positive definite Lagrangian systems, Math. Z., 207, p. 169-207.