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Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1927))

These notes record and slightly modify my 5 lectures from the CIME conference on “Calculus of variations and nonlinear partial differential equations”, held in Cetraro during the week of June 27 - July 2, 2005, organized by Bernard Dacorogna and Paolo Marcellini. I am proud to brag that this was the third CIME course I have given during the past ten years, the others at the meetings on “Viscosity solutions and applications” (Montecatini Terme, 1995) and on “Optimal transportation and applications” (Martina Franca, 2001).

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Evans, L.C. (2008). Weak KAM Theory and Partial Differential Equations. In: Dacorogna, B., Marcellini, P. (eds) Calculus of Variations and Nonlinear Partial Differential Equations. Lecture Notes in Mathematics, vol 1927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75914-0_4

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