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Liouville-type theorem for a nonlocal operator on the half plane

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Abstract

In this article we consider the following integral equation associated to the BO–ZK operator in the half plane. By combining the lifting regularity and the moving planes method for integral forms, we demonstrate that there is no positive solution for this integral equation.

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Acknowledgements

The author wishes to thank the unknown referees for their comments.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Damghan University, 36715-364, Damghan, Iran

    Amin Esfahani

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  1. Amin Esfahani
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Correspondence to Amin Esfahani.

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Communicated by A. Constantin.

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Esfahani, A. Liouville-type theorem for a nonlocal operator on the half plane. Monatsh Math 186, 439–452 (2018). https://doi.org/10.1007/s00605-018-1195-6

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  • DOI: https://doi.org/10.1007/s00605-018-1195-6

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