4 papers
Reversed inequality of the Herbst-type and the related Euler-Lagrange system
Tiantian Zhou, Yutian Lei
In 2008, Beckner (Proc. Amer. Math. Soc. 136(5), 1871-1885) proved two inequalities of the Herbst type, which are the critical forms of the Stein-Weiss inequality. In 2018, Chen et…
Radial symmetry of positive solutions of an integral system associated with the reversed Stein-Weiss inequality
Tiantian Zhou, Yutian Lei
Whether the solutions of conformal equations in the whole space are radially symmetric is an interesting topic. Chen-Li-Ou proved the radial symmetry for integral systems of the Ha…
Distribution solutions of a static dispersion Schrödinger equation
Tiantian Zhou, Yutian Lei
In this paper, we study qualitative properties of distribution solutions of a fourth order equation where $a…
Sharp criteria for a degenerate diffusion-aggregation system with the intermediate exponent
Tiantian Zhou, Li Chen, Yutian Lei
In this paper, we investigate a multi-dimensional nonlocal degenerate diffusion-aggregation equation with a diffusion exponent in the intermediate range $\frac{2d}{2d-γ}<m<\fr…