Journal article
Global estimates for non-uniformly nonlinear elliptic equations in a convex domain
Journal of mathematical analysis and applications, Vol.439(1), pp.307-322
07/01/2016
DOI: 10.1016/j.jmaa.2016.02.062
Abstract
In this paper we obtain the following global a priori Calderón–Zygmund estimates in a convex domain Ω|f|p1+|f|p2∈Lγ(Ω)⇒|∇u|p1+|∇u|p2∈Lγ(Ω)for anyγ≥1 of weak solutions for a class of non-uniformly nonlinear elliptic equations with vanishing Dirichlet data∑i=12div((Ai∇u⋅∇u)pi−22Ai∇u)=∑i=12div(|f|pi−2f), where 1<p1<p2<∞.
Details
- Title: Subtitle
- Global estimates for non-uniformly nonlinear elliptic equations in a convex domain
- Creators
- Lihe Wang - University of IowaFengping Yao - Shanghai University
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.439(1), pp.307-322
- DOI
- 10.1016/j.jmaa.2016.02.062
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/501100001809, name: NSFC, award: 11471207; name: Innovation Program of Shanghai Municipal Education Commission, award: 14YZ027
- Language
- English
- Date published
- 07/01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240776202771
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