4 papers
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking
Xiao-Ping Chen, Chun-Lei Tang
This paper focus on the symmetry and symmetry breaking about the second order Hydrogen Uncertainty Principle. \emph{Firstly}, by choosing a suitable test function, we give a negati…
Normalized solutions for the NLS equation with mixed fractional Laplacians and combined nonlinearities
Shubin Yu, Chen Yang, Chun-Lei Tang
We look for normalized solutions to the nonlinear Schrödinger equation with mixed fractional Laplacians and combined nonlinearities $$ \left\{\begin{array}{ll} (-Δ)^{s_{1}} u+(-Δ)^…
Mass concentration of minimizers for -subcritical Kirchhoff energy functional in bounded domains
Chen Yang, Shubin Yu, Chun-Lei Tang
We are concerned with -constraint minimizers for the Kirchhoff functional $$ E_b(u)=\int_Ω|\nabla u|^2\mathrm{d}x+\frac{b}{2}\left(\int_Ω|\nabla u|^2\mathrm{d}x\right)^2+\int_…
Prescribed mass standing waves for Schrödinger-Maxwell equations with combined nonlinearities
Jin-Cai Kang, Yong-Yong Li, Chun-Lei Tang
In the present paper, we study the following Schrödinger-Maxwell equation with combined nonlinearities \begin{align*} \displaystyle - Δu+λu+ \left(|x|^{-1}\ast |u|^2\right)u =|u|^{…