Calculus of Variations and Geometric Measure Theory
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G. Cupini - R. Petti

Holder continuity of local minimizers of vectorial integral functionals

created on 21 Dec 2001
modified on 10 Dec 2003

[BibTeX]

Published Paper

Inserted: 21 dec 2001
Last Updated: 10 dec 2003

Journal: NoDEA
Volume: 10
Pages: 269-285
Year: 2003

Abstract:

The regularity of vector valued $W^{1,p}$-local minimizers of functionals of the Calculus of Variations, whose integrands are of the type $(\mu^{2}+
Du
^{2})^{p/2} +f(x,u,
Du
)$, is studied. The convexity of $f$ with respect to the last variable is supposed, but no differentiability assumptions are required.

Keywords: regularity, Hölder continuity, Local minimizer

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