Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664836 | Acta Mathematica Scientia | 2010 | 5 Pages |
Abstract
We combine the maximum principle for vector-valued mappings established by D'Ottavio, Leonetti and Musciano [7] with regularity results from [5] and prove the Hölder continuity of the first derivatives for local minimizers u: Ω → ℝN of splitting-type variational integrals provided Ω is a domain in ℝ2.
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