4 citations · 13 across the 15 of their papers we have counts for
15 papers
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}^…
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} -Δu=λu\,\, \text{in}\,\,Ω, \,\, u=0,\,\,\partial_ν…
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…
Global bifurcation structure and geometric properties for steady periodic water waves with vorticity
Guowei Dai, Yong Zhang
This paper studies the classical water wave problem with vorticity described by the Euler equations with a free surface under the influence of gravity over a flat bottom. Based on…
Existence of solutions for singular double phase problems via the Nehari manifold method
Wulong Liu, Guowei Dai, Nikolaos S. Papageorgiou +1
In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term…
Bifurcation and one-sign solutions of the -Laplacian involving a nonlinearity with zeros
Guowei Dai
In this paper, we use bifurcation method to investigate the existence and multiplicity of one-sign solutions of the -Laplacian involving a linear/superlinear nonlinearity with z…