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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Author: Shusen Ding
Journal: Proc. Amer. Math. Soc. 127 (1999), 2657-2664
MSC (1991): Primary 30C65; Secondary 31B05, 58A10
Published electronically: April 23, 1999
MathSciNet review: 1657719
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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: http://dx.doi.org/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
Published electronically: April 23, 1999
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 1999 American Mathematical Society