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A regularity theorem for minimizers of quasiconvex integrals

✍ Scribed by Emilio Acerbi; Nicola Fusco

Publisher: Springer
Year: 1987
Tongue: English
Weight: 700 KB
Volume: 99
Category: Article
ISSN: 0003-9527
DOI: 10.1007/bf00284509

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We consider minimizers u ∈ W m,p ( , R N ) of uniformly strictly quasiconvex functionals F (u) = f (D m u) dL n of higher order. Here is a domain in R n , m 1, and f is a C 2 -integrand with growth of order p, p 2. Using the technique of harmonic approximation we give a direct proof of almost everyw

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We consider almost respectively strong almost minimizers to quasi-convex variational integrals. Under a polynomial growth condition on the integrand and conditions on the function ω determing the almost minimality, in particular the assumption that Ω(r) = r 0 √ ω(ρ)ρ -1 dρ is finite for some r > 0,

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