In this paper we prove the A -weighted Caccioppoli-type inequality and weak r Ž . reverse Holder inequality for A-harmonic tensors. We also obtain the A -¨r weighted Hardy᎐Littlewood inequality for conjugate A-harmonic tensors. These inequalities can be considered as extensions of the classical resu
Integral inequality for conjugate A-harmonic tensors in John domains
✍ Scribed by Yuming Xing
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 118 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We establish L^p^‐estimates for the projection operator acted on conjugate A‐harmonic tensors. These estimates can be considered as analogues of the Poincaré inequality for the projection operator.
📜 SIMILAR VOLUMES
We first prove local versions of the Poincare inequality for solutions to the Á-harmonic equation. Then, as applications of the local results, we obtain the global versions of the Poincare inequality for solutions to the A-harmonic equation śŽ . s in L , 0 -averaging domains and L -averaging domains
For a bounded domain with connected Lipschitz boundary, we prove the existence of some __c__ > 0, such that urn:x-wiley:1704214:media:mma1534:mma1534-math-0002 holds for all square‐integrable tensor fields , having square‐integrable generalized “rotation” tensor fields and vanishing tangential t