Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842821 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 10 Pages |
Abstract
We characterize L(Ï,μ)-averaging domains using the Whitney covers and the quasihyperbolic metric and study the invariance of L(Ï,μ)-averaging domains under some mappings. As applications of the L(Ï,μ)-averaging domains, we prove the Poincaré inequality with Orlicz norms for solutions of the non-homogeneous A-harmonic equation in L(Ï,μ)-averaging domains.
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Authors
Shusen Ding,