4 papers · 1 filter
On the Schiffer and Berenstein conjectures with high-frequency for convex domains in the plane
Guowei Dai, Yingxin Sun, Juncheng Wei +1
In this paper, by introducing two-point stationary-phase amplitude defect, we provide a partial positive answer to the Schiffer and Berenstein conjectures in . More p…
Overdetermined elliptic problems in nontrivial exterior domains of the hyperbolic space
Guowei Dai, Pieralberto Sicbaldi, Yong Zhang
We construct nontrivial unbounded domains in the hyperbolic space , , bifurcating from the complement of a ball, such that the overdetermined ell…
The global bifurcation of periodic internal waves with point vortex and capillary effect
Dai Guowei, Zhang Yong
In this paper, we first construct two-dimensional periodic interface waves with point vortex and capillary effect and then obtain the global structure of the set of solutions. This…
Sign-changing solutions to Schiffer's overdetermined problem on wavy cylinder
Guowei Dai, Yong Zhang
In this paper, we prove the existence of families of smooth unbounded domains with , where \begin{equation} Ω_s=\left\{(x,t)\in \mathbb{R}^…