Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624243 | Journal of Mathematical Analysis and Applications | 2006 | 14 Pages |
Abstract
We first prove the local Ar(Ω)-weighted Poincaré inequality for A-harmonic tensors on domain Ω and the analogue for the projection operator. Then, we prove the global Ar(Ω)-weighted Poincaré inequality for A-harmonic tensors. Finally, using the global Ar(Ω)-weighted inequality established for A-harmonic tensors, we obtain the global Ar(Ω)-weighted Poincaré inequality for the projection operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis