Orlicz Norm Inequalities for Conjugate Harmonic Forms

Shusen Ding () and Yuming Xing ()
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Shusen Ding: Seattle University
Yuming Xing: Harbin Institute of Technology

Chapter Chapter 11 in Nonlinear Analysis, 2012, pp 161-176 from Springer

Abstract: Abstract We establish some basic norm inequalities, including the Poincaré inequality, weak reverse Hölder inequality, and Caccioppoli inequality, for conjugate harmonic forms. We also prove the Caccioppoli inequality with Orlicz norm for conjugate harmonic forms.

Keywords: Caccioppoli inequality; The A-harmonic equation and differential forms; 35J60; 31B05; 58A10; 46E35 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_11

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DOI: 10.1007/978-1-4614-3498-6_11

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