3 papers
math.AP2025
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…
math.AP2025
Interval bifurcation theorems for Fredholm operator and its application to an elliptic overdetermined problem in bounded domains
Guowei Dai, Yong Zhang
We establish local interval bifurcation theorem and global interval bifurcation theorem for Fredholm operator with index via -group. As one of applications, we investigate t…
math.AP2024
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 el…