Journal article
Calderón–Zygmund theory for nonlinear elliptic problems with irregular obstacles
Journal of functional analysis, Vol.263(10), pp.3117-3143
11/15/2012
DOI: 10.1016/j.jfa.2012.07.018
Abstract
We consider a nonhomogeneous elliptic problem with an irregular obstacle involving a discontinuous nonlinearity over an irregular domain in divergence form of p-Laplacian type, to establish the global Calderón–Zygmund estimate by proving that the gradient of the weak solution is as integrable as both the gradient of the obstacle and the nonhomogeneous term under the BMO smallness of the nonlinearity and sufficient flatness of the boundary in the Reifenberg sense.
Details
- Title: Subtitle
- Calderón–Zygmund theory for nonlinear elliptic problems with irregular obstacles
- Creators
- Sun-Sig Byun - Department of Mathematics and Research Institute of Mathematics, Seoul National University, Seoul 151-747, Republic of KoreaYumi Cho - Department of Mathematics, Seoul National University, Seoul 151-747, Republic of KoreaLihe Wang - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.263(10), pp.3117-3143
- DOI
- 10.1016/j.jfa.2012.07.018
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 11/15/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984083860402771
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