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Partial regularity for local minimizers of splitting-type variational integrals

Article type: Research Article

Authors: Bildhauer, M. | Fuchs, M.

Affiliations: Universität des Saarlandes, Fachbereich 6.1 Mathematik, Postfach 15 11 50, D-66041 Saarbrücken, Germany. E-mails: {bibi, fuchs}@math.uni-sb.de

Abstract: We consider local minimizers u: Rn⊃Ω→RN of anisotropic variational integrals of (p, q)-growth with exponents 2≤p≤q≤min {2+p, p n/(n−2)}. If the integrand is of splitting-type, then partial C1-regularity of u is established.

Keywords: anisotropic energies, vector-valued problems, local minimizers, splitting functionals, partial regularity

Journal: Asymptotic Analysis, vol. 55, no. 1-2, pp. 33-47, 2007

Published: 2007
Price: EUR 27.50
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