Journal article
The optimal weighted $W^{2, p}$ estimates of elliptic equation with non-compatible conditions
Communications on pure and applied analysis, Vol.10(2), pp.561-570
12/2010
DOI: 10.3934/cpaa.2011.10.561
Abstract
In this paper we study uniformly elliptic equations with non-compatible conditions, where $\Omega$ is a bounded Lipchitz domain, and the right-hand side term and the boundary value of the elliptic equations belong to $L^p (p \geq 2)$ space. Then the optimal weighted $W^{2, p}$ estimates will be given by Whitney decomposition and $L^p$ estimates of non-tangential maximal function associated to solutions of the elliptic equations.
Details
- Title: Subtitle
- The optimal weighted $W^{2, p}$ estimates of elliptic equation with non-compatible conditions
- Creators
- Yi CaoDong LiLihe Wang
- Resource Type
- Journal article
- Publication Details
- Communications on pure and applied analysis, Vol.10(2), pp.561-570
- DOI
- 10.3934/cpaa.2011.10.561
- ISSN
- 1534-0392
- eISSN
- 1553-5258
- Language
- English
- Date published
- 12/2010
- Academic Unit
- Mathematics
- Record Identifier
- 9984083242002771
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