Title: Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications,
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.