Guowei Dai

activity

20122023

most citedExistence of solutions for singular double phase problems via the Nehari manifold method

4 citations · 13 across the 15 of their papers we have counts for

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3 papers · 1 filter

math.AP2023

Sign-changing solutions to Schiffer's overdetermined problem on wavy cylinder

Guowei Dai, Yong Zhang

In this paper, we prove the existence of $k$ families of smooth unbounded domains $Ω_{s} \subset R^{N + 1}$ with $N \geq 1$ , where \begin{equation} Ω_s=\left\{(x,t)\in \mathbb{R}^…

math.AP2023

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 $R^{N + 1}$ with $N \geq 1$ such that \begin{equation} -Δu=λu\,\, \text{in}\,\,Ω, \,\, u=0,\,\,\partial_ν…

math.AP2023

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 $0$ via $0$ -group. As one of applications, we investigate t…