4 citations · 4 across the 3 of their papers we have counts for
8 papers
Qualitative analysis on the critical points of the Robin function
Francesca Gladiali, Massimo Grossi, Peng Luo +1
Let be a smooth bounded domain with and where is the ball centered at and radius . In this paper, we est…
Concentrated solutions to fractional Schrödinger equations with prescribed -norm
Qing Guo, Peng Luo, Chunhua Wang +1
We investigate the existence and local uniqueness of normalized -peak solutions for the fractional Schrödinger equations with attractive interactions with a class of degenerated…
On the number and location of critical points of solutions of nonlinear elliptic equations in domains with a small hole
Massimo Grossi, Peng Luo
In this paper we study the following problem \begin{equation} \begin{cases} -Δu=f(u)~&\mbox{in}\ Ω_\varepsilon,\\ u>0~&\mbox{in}\ Ω_\varepsilon,\\ u=0~&\mbox{on}\ \partialΩ_\vareps…
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…
Excited states on Bose-Einstein condensates with attractive interactions
Peng Luo, Shuangjie Peng, Shusen Yan
We study the Bose-Einstein condensates (BEC) in two or three dimensions with attractive interactions, described by constraint Gross-Pitaevskii energy functional. First, we…
Positive multi-peak solutions for a logarithmic Schrodinger equation
Peng Luo, Yahui Niu
In this manuscript, we consider the logarithmic Schrödinger equation \begin{eqnarray*} -\varepsilon^2Δu+V(x)u=u\log u^{2},\,\,\,u>0, & \text{in}\,\,\,\mathbb{R}^{N}, \end{eqnarray*…