8 citations · 22 across the 11 of their papers we have counts for
13 papers
Existence of Boundary Layers for the supercritical Lane-Emden Systems
Qing Guo, Junyuan Liu, Shuangjie Peng
We consider the following supercritical problem for the Lane-Emden system: \begin{equation}\label{eq00} \begin{cases} -Δu_1=|u_2|^{p-1}u_2\ &in\ D,\\ -Δu_2=|u_1|^{q-1}u_1 \ &in\ D,…
Qualitative analysis for Moser-Trudinger nonlinearities with a low energy
Peng Luo, Kefan Pan, Shuangjie Peng
We are concerned with the Moser-Trudinger problem \begin{equation*} \begin{cases} -Δu=λue^{u^2}~~&\mbox{in}~Ω,\\[0.5mm] u>0 ~~ &{\text{in}~Ω},\\[0.5mm] u=0~~&\mbox{on}~\partial Ω,…
Existence and non-degeneracy of positive multi-bubbling solutions to critical elliptic systems of Hamiltonian type
Qing Guo, Junyuan Liu, Shuangjie Peng
This paper deals with the following critical elliptic systems of Hamiltonian type, which are variants of the critical Lane-Emden systems and analogous to the prescribed curvature p…
Non-degeneracy and existence of new solutions for the Schrödinger equations
Yuxia Guo, Monica Musso, Shuangjie Peng +1
We consider the following nonlinear problem $$ (P) \quad \quad - Δu + V(|y|)u=u^{p},\quad u>0 \quad \mbox{in} \ {\mathbb{R}}^N, \quad u \in H^1({\mathbb{R}}^N), $$ where is…
Existence and Asymptotic Behavior of Ground States for Rotating Bose-Einstein Condensates
Yujin Guo, Yong Luo, Shuangjie Peng
We study ground states of two-dimensional Bose-Einstein condensates with repulsive () or attractive () interactions in a trap rotating at the velocity . It is…
The number of positive solutions to the Brezis-Nirenberg problem
Daomin Cao, Peng Luo, Shuangjie Peng
In this paper we are concerned with the well-known Brezis-Nirenberg problem \begin{equation*} \begin{cases} -Δu= u^{\frac{N+2}{N-2}}+\varepsilon u, &{\text{in}~Ω},\\ u>0, &{\text{i…