Article ID Journal Published Year Pages File Type
4624243 Journal of Mathematical Analysis and Applications 2006 14 Pages PDF
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