8 citations · 19 across the 7 of their papers we have counts for
9 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…
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…
Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two
Massimo Grossi, Isabella Ianni, Peng Luo +1
We are concerned with the Lane-Emden problem \begin{equation*} \begin{cases} -Δu=u^{p} &{\text{in}~Ω},\\[0.5mm] u>0 &{\text{in}~Ω},\\[0.5mm] u=0 &{\text{on}~\partial Ω}, \end{cases…
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…
Infinitely many non-radial solutions to a critical equation on annulus
Yuxia Guo, Benniao Li, Angela Pistoia +1
In this paper, we build infinitely many non-radial sign-changing solutions to the critical problem: \begin{equation*} \left\{\begin{array}{rlll} -Δu&=|u|^{\frac{4}{N-2}}u, &\hbox{…
Uniqueness of planar vortex patch in incompressible steady flow
Daomin Cao, Yuxia Guo, Shuangjie Peng +1
We investigate a steady planar flow of an ideal fluid in a bounded simple connected domain and focus on the vortex patch problem with prescribed vorticity strength. There are two m…