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Journal of Inequalities and Applications
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Global Caccioppoli-Type and Poincaré Inequalities with Orlicz Norms

Journal of Inequalities and Applications volume 2010, Article number: 727954 (2010) Cite this article

Abstract

We obtain global weighted Caccioppoli-type and Poincaré inequalities in terms of Orlicz norms for solutions to the nonhomogeneous -harmonic equation .

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901, USA

    RaviP Agarwal

  2. Department of Mathematics, Seattle University, Seattle, WA, 98122, USA

    Shusen Ding

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  1. RaviP Agarwal
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  2. Shusen Ding
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Correspondence to Shusen Ding.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Agarwal, R., Ding, S. Global Caccioppoli-Type and Poincaré Inequalities with Orlicz Norms. J Inequal Appl 2010, 727954 (2010). https://doi.org/10.1155/2010/727954

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  • DOI: https://doi.org/10.1155/2010/727954

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