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Local boundedness of minimizers of anisotropic functionals

✍ Scribed by Andrea Cianchi

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
139 KB
Volume
17
Category
Article
ISSN
0294-1449

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We study not necessarily differentiable functionals of the form We prove that local C 1 (Ω)-minimizers of J must be local W 1,p (Ω)minimizers of J.

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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 +∞ , not necessarily depending on the modulus of Du.