331 citations · 1.5k across the 73 of their papers we have counts for
5 papers · 1 filter
On the stability of critical points of the Hardy-Littlewood-Sobolev inequality
Kuan Liu, Qian Zhang, Wenming Zou
This paper is concerned with the quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality. Namely, we give quantitative estimates for the Choquard equat…
Existence of nontrivial solutions to a fourth-order Kirchhoff type elliptic equation with critical exponent
Qian Zhang, Yuzhu Han
In this paper, a critical fourth-order Kirchhoff type elliptic equation with a subcritical perturbation is studied. The main feature of this problem is that it involves both a nonl…
Global stability of the Dirac-Klein-Gordon system in two and three space dimensions
Qian Zhang
In this paper we study global nonlinear stability for the Dirac-Klein-Gordon system in two and three space dimensions for small and regular initial data. In the case of two space d…
Stability of a coupled wave-Klein-Gordon system with non-compactly supported initial data
Qian Zhang
In this paper we study global nonlinear stability for a system of semilinear wave and Klein-Gordon equations with quadratic nonlinearities. We consider nonlinearities of the type o…
Global solutions of 2-D cubic Dirac equation with non-compactly supported data
Qian Zhang
We are interested in the cubic Dirac equation in two space dimensions. We establish the small data global existence and sharp pointwise decay results for general cubic nonlineariti…