2 papers
math.AP2025
Uniqueness of the critical points of solutions to two kinds of semilinear elliptic equations in higher dimensional domains
Haiyun Deng, Jingwen Ji, Feida Jiang +1
In this paper, we provide an affirmative answer to the {\it conjecture A} for bounded simple rotationally symmetric domains along axis. Prec…
math.AP2024
On the number and geometric location of critical points of solutions to a semilinear elliptic equation in annular domains
Haiyun Deng, Hairong Liu, Xiaoping Yang
In this paper, one of our aims is to investigate the instability of the distribution of the critical point set of a solution to a semilinear equation with Diri…