Journal article
Nonlinear gradient estimates for elliptic equations of general type
Calculus of variations and partial differential equations, Vol.45(3), pp.403-419
11/2012
DOI: 10.1007/s00526-011-0463-2
Abstract
We study a very general model of nonvariational elliptic equations of p-Laplacian type. We prove the W
1,q
-estimates for each q > p regarding such a nonlinear elliptic equation in divergence form under the assumption that for each point and for each sufficiently small scale the nonlinearity is suitably close to a vector of the gradient in BMO space. In the same spirit our results can be easily extended to Orlicz spaces as well.
Details
- Title: Subtitle
- Nonlinear gradient estimates for elliptic equations of general type
- Creators
- Sun-Sig Byun - Department of Mathematics and Research Institute of Mathematics Seoul National University Seoul 151-747 KoreaLihe Wang - Department of Mathematics Shanghai Jiaotong University Shanghai 200240 China
- Resource Type
- Journal article
- Publication Details
- Calculus of variations and partial differential equations, Vol.45(3), pp.403-419
- Publisher
- Springer-Verlag
- DOI
- 10.1007/s00526-011-0463-2
- ISSN
- 0944-2669
- eISSN
- 1432-0835
- Language
- English
- Date published
- 11/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984083809102771
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