Journal article
Quasilinear elliptic equations on convex domains
Journal of mathematical analysis and applications, Vol.433(1), pp.509-524
01/01/2016
DOI: 10.1016/j.jmaa.2015.08.001
Abstract
We show global regularity for p-Laplacian type elliptic equations on convex domains with W1,q(q≥p>1) boundary data. The maximal function, Vitali covering lemma and approximation (or compactness method) are the main techniques in the proof. To derive the approximation lemma, we need W1,∞ estimates for the corresponding homogeneous equations, where the convexity of the domain plays an important role.
Details
- Title: Subtitle
- Quasilinear elliptic equations on convex domains
- Creators
- Huilian Jia - Xi'an Jiaotong UniversityLihe Wang - Shanghai Jiao Tong University
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.433(1), pp.509-524
- DOI
- 10.1016/j.jmaa.2015.08.001
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/501100001809, name: NSFC, award: 11101324; name: BC, award: 0710057
- Language
- English
- Date published
- 01/01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984241060202771
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