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Global integrability for minimizers of anisotropic functionals

โœ Scribed by Leonetti, Francesco; Siepe, Francesco


Book ID
121615013
Publisher
Springer
Year
2013
Tongue
English
Weight
165 KB
Volume
144
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES


Higher Integrability for Minimizers of I
โœ L. Esposito; F. Leonetti; G. Mingione ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

We prove higher integrability for minimizers u : 0 ร„ R N of integral functionals 0 ( f (Du)+a(x) u) dx, where f satisfies a non standard growth condition of ( p, q) type, |z| p f (z) L(1+|z| q ), p<q.

On the Lipschitz Regularity of Minimizer
โœ Francesco Siepe ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 181 KB

We prove a Lipschitz regularity result for minimizers of functionals of the calculus of variations of the form f Du x dx, where f is a continuous convex function from n into 0 +โˆž , not necessarily depending on the modulus of Du.