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.

To appear in Bull. Braz. Math. Soc

References in corpus (2)

• A sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation
• Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation