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• W2051211455 abstract "We consider multi-dimensional variational integrals $$F[u] := int_Omega f(cdot, u, Du) dx quad {rm for} quad u : mathbb{R}^n supset Omega rightarrow mathbb{R}^N,$$ where the integrand f is a strictly convex function of its last argument. We give an elementary proof for the partial $$C^{1,alpha}$$ -regularity of minimizers of F. Our approach is based on the method of A-harmonic approximation, avoids the use of Gehring’s lemma, and establishes partial regularity with the optimal Hölder exponent α in a single step." @default.
• W2051211455 created "2016-06-24" @default.
• W2051211455 creator A5003346593 @default.
• W2051211455 date "2009-01-30" @default.
• W2051211455 modified "2023-10-07" @default.
• W2051211455 title "A Simple Partial Regularity Proof for Minimizers of Variational Integrals" @default.
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• W2051211455 doi "https://doi.org/10.1007/s00030-008-8012-1" @default.
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