Higher integrability for variational integrals with non-standard growth

dc.contributor.author	Schäffner, Mathias
dc.date.accessioned	2021-06-16T10:52:22Z
dc.date.available	2021-06-16T10:52:22Z
dc.date.issued	2021-04-09
dc.description.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.	en
dc.identifier.uri	http://hdl.handle.net/2003/40256
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-22129
dc.language.iso	en	de
dc.relation.ispartofseries	Calc. Var.;60
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject.ddc	510
dc.title	Higher integrability for variational integrals with non-standard growth	en
dc.type	Text	de
dc.type.publicationtype	article	de
dcterms.accessRights	open access
eldorado.secondarypublication	true	de
eldorado.secondarypublication.primarycitation	Schäffner, M. Higher integrability for variational integrals with non-standard growth. Calc. Var. 60, 77 (2021)	de
eldorado.secondarypublication.primaryidentifier	https://doi.org/10.1007/s00526-020-01907-1	de

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