8 citations · 27 across the 16 of their papers we have counts for
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Axial Symmetry of Normalized Solutions for Magnetic Gross-Pitaevskii Equations with Anharmonic Potentials
Yujin Guo, Yan Li, Yong Luo +1
This paper is concerned with normalized solutions of the magnetic focusing Gross-Pitaevskii equations with anharmonic potentials in , where or . We construct…
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,…
Sign-changing solutions to the slightly supercritical Lane-Emden system with Neumann boundary conditions
Qing Guo, Shuangjie Peng
We consider the following slightly supercritical problem for the Lane-Emden system with Neumann boundary conditions: \begin{equation*} \begin{cases} -Δu_1=|u_2|^{p_ε-1}u_2,\ &in\ Ω…
Semi-classical states for fractional Choquard equations with decaying potentials
Yinbin Deng, Shuangjie Peng, Xian Yang
This paper deals with the following fractional Choquard equation where $\varep…
Existence and decays of solutions for fractional Schrödinger equations with decaying potentials
Yinbin Deng, Shuangjie Peng, Xian Yang
We revisit the following fractional Schrödinger equation \begin{align}\label{1a} \varepsilon^{2s}(-Δ)^su +Vu=u^{p-1},\,\,\,u>0,\ \ \ \mathrm{in}\ \R^N, \end{align} where $\varepsil…