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Higher differentiability for minimizers of irregular integrals

✍ Scribed by L. Esposito; F. Leonetti; G. Mingione

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
370 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

We report on some higher differentiability theorems valid for minimizers of integral functionals (\int_{\Omega} f(D u) d x), with non standard growth conditions of ((p, q)) type. The main feature of our results is that the only regularity assumption made on (f) is a suitable form of uniform convexity.

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