Abstract
In this paper, we obtain some weighted integral inequalities for differential forms, which can be considered as generalizations of the Poincaré inequality, the Caccioppoli-type estimate, and the weak reverse Hölder inequality, respectively. These results can be used to study the integrability of differential forms and to estimate the integrals of differential forms. We also give some applications of the above results.
Citation
Juan Li. Hongya Gao. "Weighted integral inequalities for differential forms." J. Math. Kyoto Univ. 44 (4) 715 - 727, 2004. https://doi.org/10.1215/kjm/1250281695
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