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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
Sign-changing solution for an overdetermined elliptic problem on unbounded domain
Guowei Dai, Yong Zhang
We prove the existence of two smooth families of unbounded domains in with such that \begin{equation} -Îu=λu\,\, \text{in}\,\,Ω, \,\, u=0,\,\,\partia…