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math.AP2022★ 2 cited
Anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces with applications to the axisymmetric Navier-Stokes equations
Yanqing Wang, Yike Huang, Wei Wei +1
In this paper, we establish several new anisotropic Hardy-Sobolev inequalities in mixed Lebesgue spaces and mixed Lorentz spaces, which covers many known corresponding results. As…
math.AP2022★ 2 cited
Gagliardo-Nirenberg inequality in anisotropic Lebesgue spaces and energy equality in the Navier-Stokes equations
Yanqing Wang, Xue Mei, Wei Wei
In this paper, it is shown that an analogue in mixed norm spaces of Gagliardo-Nirenberg inequality is valid. As an application, some new criteria for energy conservation of Leray-H…
math.AP2022
A Liouville's theorem for some Monge-Ampère type equations
Hao Fang, Biao Ma, Wei Wei
We study a Monge-Ampère type equation that interpolates the classical {σ_2} -Yamabe equation in conformal geometry and the 2-Hessian equation in dimension 4.