Affiliation:
1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Abstract
We establish the Poincaré-type inequalities for the composition of the homotopy operator, exterior derivative operator, and the projection operator withLφ-norm applied to the nonhomogeneousA-harmonic equation inLφ(Ω)-averaging domains.
Subject
Applied Mathematics,Analysis
Cited by
3 articles.
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1. Higher integrability of Green's operator and homotopy operator;Journal of Mathematical Analysis and Applications;2017-02
2. Higher integrability of iterated operators on differential forms;Nonlinear Analysis: Theory, Methods & Applications;2016-11
3. Dirac-harmonic equations for differential forms;Nonlinear Analysis: Theory, Methods & Applications;2015-07