Hölder regularity for a classical problem of the calculus of variations
نویسندگان
چکیده
Let R be bounded, open and convex. Let F W R ! R be convex, coercive of order p > 1 and such that the diameters of the projections of the faces of the epigraph of F are uniformly bounded. Then every minimizer of Z F.rv.x// dx; v 2 CW 1;1 0 .;R/; is Hölder continuous in of order p 1 nCp 1 whenever is Lipschitz on @. A similar result for non convex Lagrangians that admit a minimizer follows.
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تاریخ انتشار 2009