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\(L_{p}\)-Estimates for Solutions of Equations Governed by Operators like the Anisotropic Fractional Laplacian

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Abstract

In this paper we establish new \(L_{p}\)-estimates for solutions of anisotropic fractional equations, as the ones governed by the anisotropic fractional laplacian \(\Delta ^{\beta , s}\).

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Acknowledgements

RL would like to thank Prof. Eduardo Teixeira and also the referee for the careful reading of the manuscript and many useful comments. RL is supported by CNPq-Brazil.

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  1. Department of Mathematics, Universidade Federal do Ceará-UFC, Fortaleza, CE, 60455-760, Brazil

    Raimundo Leitão

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  1. Raimundo Leitão
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Correspondence to Raimundo Leitão.

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Leitão, R. \(L_{p}\)-Estimates for Solutions of Equations Governed by Operators like the Anisotropic Fractional Laplacian. Bull Braz Math Soc, New Series 54, 34 (2023). https://doi.org/10.1007/s00574-023-00351-x

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  • DOI: https://doi.org/10.1007/s00574-023-00351-x

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