7 papers
Rigidity of Simple Parabolic Maps
Ning Gao, Yan Gao, Wenjuan Peng
We prove that two simple parabolic rational maps with conformally conjugate completely invariant parabolic Fatou domains are globally conformally conjugate. The proof combines quas…
Polynomials in molecules
Yan Gao, Jinsong Zeng
This paper characterizes polynomials within molecules. We show that a geometrically finite polynomial of degree lies in a molecule if and only if all its critical points b…
On the parabolic Fatou domains
Ning Gao, Yan Gao, Wenjuan Peng
Let be a rational map with an infinitely-connected fixed parabolic Fatou domain . We prove that there exists a rational map with a completely invariant parabolic Fatou d…
Non-recurrent rational maps with disconnected Julia set
Yan Gao, Lele Xu, Luxian Yang
We prove that every wandering exposed Julia component of a rational map is to a singleton, provided that each wandering Julia component containing critical points is non-recurrent.…
Boundaries of the bounded hyperbolic components of polynomials
Yan Gao, Xiaoguang Wang, Yueyang Wang
In this paper, we study the local connectivity and Hausdorff dimension for the boundaries of the bounded hyperbolic components in the space of polynomials of degree…
Invariant graphs in Julia sets and decompositions of rational maps
Guizhen Cui, Yan Gao, Jinsong Zeng
In this paper, we prove that for any post-critically finite rational map on the Riemann sphere , and for each sufficiently large integer , there exist…
Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system with -Laplacian
Shuo Ren, Huixing Zhang, Zhen Cheng +1
In this paper, we consider the following Schrödinger-Poisson system with -laplacian \begin{equation} \begin{cases} -Δ_{p}u+V(x)|u|^{p-2}u+ϕ|u|^{p-2}u=f(u)\qquad&x\in\mathbb{R}^{…