Geodesic
A Comparison Principle and the Lipschitz Continuity for Minimizers
Journal of convex analysis, Tome 12 (2005) no. 1, pp. 197-212

Voir la notice de l'article provenant de la source Heldermann Verlag

We give some conditions that ensure the validity of a Comparison Principle for the minimizers of integral functionals, without assuming the validity of the Euler-Lagrange equation. We deduce a weak Maximum Principle for (possibly) degenerate elliptic equations and, together with a generalization of the Bounded Slope Condition, a result on the Lipschitz continuity of minimizers.
Classification : 35A15, 35B05 35B50, 35J20, 46B99
Mots-clés : Comparison Principle, Maximum Principle, variational equation, Euler-Lagrange equation, elliptic equation, Bounded Slope Condition, regularity of minimizers 
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C. Mariconda; G. Treu. A Comparison Principle and the Lipschitz Continuity for Minimizers. Journal of convex analysis, Tome 12 (2005) no. 1, pp. 197-212. http://geodesic.mathdoc.fr/item/JCA_2005_12_1_JCA_2005_12_1_a13/