76 citations · 186 across the 13 of their papers we have counts for
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math.AP2020
Existence and local uniqueness of normalized peak solutions for a Schrodinger-Newton system
Qing Guo, Peng Luo, Chunhua Wang +1
In this paper, we investigate the existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system under the assumption that the trapping potential is de…
math.AP2020★ 2 cited
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…
math.AP2020★ 1 cited
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…