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Hölder regularity for a classical problem of the calculus of variations
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Carlo Mariconda
Published/Copyright:
April 28, 2009
Abstract
Let 
be bounded, open and convex. Let 
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
is Hölder continuous in 
of order 
whenever φ is Lipschitz on ∂Ω. A similar result for non convex Lagrangians that admit a minimizer follows.
Received: 2008-04-15
Published Online: 2009-04-28
Published in Print: 2009-October
© de Gruyter 2009
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- Hölder regularity for a classical problem of the calculus of variations
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Articles in the same Issue
- Hölder regularity for a classical problem of the calculus of variations
- On the Finsler metrics obtained as limits of chessboard structures
- Polyconvexity, generalised twists and energy minimizers on a space of self-maps of annuli in the multi-dimensional calculus of variations
