\(A_{r} (\lambda)\)-weighted Caccioppoli-type and Poincaré-type inequalities for \(A\)-harmonic tensors. (English) Zbl 1014.30014
A local weighted Caccioppoli inequality and a local and a global weighted Poincaré inequality for \(A\)-harmonic tensors are proved. However, the last inequality of (2.2) and (2.12) are based on [12, Theorem 2.4], not on (1.11).
Reviewer: Jouni Luukkainen (Helsinki)
MSC:
| 30C65 | Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations |
| 31B05 | Harmonic, subharmonic, superharmonic functions in higher dimensions |
