Abstract
In this paper we establish the best constant of an anisotropic Gagliardo–Nirenberg-type inequality related to the Benjamin–Ono–Zakharov–Kuznetsov equation. As an application of our results, we prove the uniform bound of solutions for such a equation in the energy space.
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Acknowledgments
Amin Esfahani is partially supported by a grant from IPM (No. 92470042). Ademir Pastor is partially supported by CNPq-Brazil and FAPESP-Brazil.
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Esfahani, A., Pastor, A. Sharp Constant of an Anisotropic Gagliardo–Nirenberg-Type Inequality and Applications. Bull Braz Math Soc, New Series 48, 171–185 (2017). https://doi.org/10.1007/s00574-016-0017-5
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DOI: https://doi.org/10.1007/s00574-016-0017-5