Authors: Schäffner, Mathias
Title: Higher integrability for variational integrals with non-standard growth
Language (ISO): en
Abstract: We consider autonomous integral functionals of the form F[u]:=∫Ωf(Du)dx where u:Ω→RN,N≥1, where the convex integrand f satisfies controlled (p, q)-growth conditions. We establish higher gradient integrability and partial regularity for minimizers of F assuming qp<1+2n−1, n≥3. This improves earlier results valid under the more restrictive assumption qp<1+2n.
Issue Date: 2021-04-09
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Appears in Collections:Lehrstuhl I Analysis

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