Published Paper

Inserted: 23 may 2007
Last Updated: 15 nov 2007

Journal: J. Differential Equations
Volume: 243
Pages: 329-348
Year: 2007

Abstract:

Classical one-dimensional, autonomous Lagrange problems are considered. In absence of any smoothness, convexity or coercivity condition on the energy density, we prove a DuBois-Reymond type necessary condition, expressed as a differential inclusion involving the subdifferential of Convex Analysis. As a consequence, a non-existence result is obtained.

Keywords: autonomous variational problem, necessary condition, DuBois-Reymond condition, non-existence result

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