18 citations · 18 across the 1 of their papers we have counts for
2 papers
math.AP2020★ 18 cited
Existence and symmetry of solutions to 2-D Schrödinger-Newton equations
Daomin Cao, Wei Dai, Yang Zhang
In this paper, we consider the following 2-D Schrödinger-Newton equations \begin{eqnarray*} -Δu+a(x)u+\fracγ{2π}\left(\log(|\cdot|)*|u|^p\right){|u|}^{p-2}u=b{|u|}^{q-2}u \qquad \t…
math.AP2019
Existence and axial symmetry of minimal action odd solutions for 2-D Schrödinger-Newton equation
Yang Zhang
We consider the following 2-D Schrödinger-Newton equation \begin{eqnarray*} \begin{cases} -Δu+u=w|u|^{p-1}u \\ -Δw=2 π|u|^p \end{cases}\text{in} \; \mathbb{R}^2 \end{eqnarray*} for…