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. |
URI: | http://hdl.handle.net/2003/40256 http://dx.doi.org/10.17877/DE290R-22129 |
Issue Date: | 2021-04-09 |
Rights link: | https://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Lehrstuhl I Analysis |
Files in This Item:
File | Description | Size | Format | |
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Schäffner2021_Article_HigherIntegrabilityForVariatio.pdf | 344.14 kB | Adobe PDF | View/Open |
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