1 citations · 1 across the 3 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2024
Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem
Yuan Gao, Yuxia Guo, Ning Zhou
In this paper, we consider a critical Grushin-type problem, which is closely related to the prescribed Webster scalar curvature problems on the CR sphere with cylindrically symmetr…
math.AP2024
New type of solutions for Schrödinger equations with critical growth
Yuan Gao, Yuxia Guo
We consider the following nonlinear Schrödinger equations with critical growth: \begin{equation} - Δu + V(|y|)u=u^{\frac{N+2}{N-2}},\quad u>0 \ \ \mbox{in} \ \mathbb {R}^N, \end{eq…
math.AP2023★ 1 cited
Non-degeneracy of double-tower solutions for nonlinear Schrödinger equation and applications
Yuan Gao, Yuxia Guo
This paper is concerned with the following nonlinear Schrödinger equation \begin{equation} \label{eq} - Δu + V(|y|)u=u^{p},\quad u>0 \ \ \mbox{in} \ \mathbb {R}^N, \ \ \ u \in H^1(…