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Hölder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

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  • S. Bonafede
  • V. Cataldo
  • S. D'Asero

Abstract

We study qualitative properties of minimizers for a class of integral functionals, defined in a weighted space. In particular we obtain Hölder regularity up to the boundary for the minimizers of an integral functional of high order by using an interior local regularity result and a modified Moser method with special test function.

Suggested Citation

  • S. Bonafede & V. Cataldo & S. D'Asero, 2007. "Hölder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands," International Journal of Stochastic Analysis, Hindawi, vol. 2007, pages 1-14, January.
    • Handle: RePEc:hin:jnijsa:031819
    DOI: 10.1155/2007/31819
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