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Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for $A$-harmonic tensors

Author(s): Shusen Ding
Journal: Proc. Amer. Math. Soc. 127 (1999), 2657-2664.
MSC (1991): Primary 30C65; Secondary 31B05, 58A10
Posted: April 23, 1999
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Abstract: We obtain a local weighted Caccioppoli-type estimate and prove the weighted version of the weak reverse Hölder inequality for $A$-harmonic tensors.


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Additional Information:

Shusen Ding
Affiliation: Department of Mathematics and Statistics, University of Minnesota at Duluth, Duluth, Minnesota 55812-2496
Address at time of publication: Department of Mathematics, Seattle University, Seattle, Washington 98122
Email: sding@d.umn.edu

DOI: 10.1090/S0002-9939-99-05285-5
PII: S 0002-9939(99)05285-5
Keywords: $A$-harmonic tensors, $A_{r}$-weights, Caccioppoli-type estimate, $A$-harmonic equation
Received by editor(s): August 23, 1997
Posted: April 23, 1999
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 1999, American Mathematical Society


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Bing Liu and Shusen Ding, The Monotonic Property of L^s(\mu)-Averaging Domains and Weighted Weak Reverse H\"older Inequality, Journal of Mathematical Analysis and Applications 237 (1999), 730-739. (English)


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