Regularity results for Hölder minimizers to functionals with non‐standard growth

Antonio Giuseppe Grimaldi and Erica Ipocoana

Mathematische Nachrichten, 2024, vol. 297, issue 8, 3143-3164

Abstract: We study the regularity properties of Hölder continuous minimizers to non‐autonomous functionals satisfying (p,q)$(p,q)$‐growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem.

Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.202300412

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:297:y:2024:i:8:p:3143-3164

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().