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