The Calderón–Zygmund estimates for a class of nonlinear elliptic equations with measure data

Shuang Liang and Shenzhou Zheng

Mathematische Nachrichten, 2021, vol. 294, issue 3, 603-615

Abstract: We study a class of nonlinear elliptic equations involving measure data −divA(x,Du)=μinΩ,where μ is a Radon measure. Under the main assumption of A(x,ξ) that there exists a constant Λ>0 such that |A(x,ξ)−A(x0,ξ)|≤Λ(a(x)+a(x0))|x−x0|α(|ξ|2+s2)p−12,α∈(0,1],where 0≤a(x)∈Lm(Ω) for some integrable index m>1, we obtain the Calderón–Zygmund estimates in the Sobolev–Morrey spaces for refined fractional‐order derivatives of distributional solutions depending on α.

Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.201800334

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:294:y:2021:i:3:p:603-615

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 ().