6 papers · 2 filters
Orbital stability of normalized ground states for critical Choquard equation with potential
Jun Wang, Zhaoyang Yin
In this paper, we study the existence of ground state standing waves and orbital stability, of prescribed mass, for the nonlinear critical Choquard equation \begin{equation*} \left…
Almost sure well-posedness and orbital stability for Schrödinger equation with potential
Jun Wang, Zhaoyang Yin
In this paper, we study the almost sure well-posedness theory and orbital stability for the nonlinear Schrödinger equation with potential \begin{equation*} \left\{\begin{array}{l}…
Normalized solutions and stability for biharmonic Schrödinger equation with potential on waveguide manifold
Jun Wang, Zhaoyang Yin
In this paper, we study the following biharmonic Schrödinger equation with potential and mixed nonlinearities \begin{equation*} \left\{\begin{array}{ll}Δ^2 u +V(x,y)u+λu =μ|u|^{p-2…
Global well-posedness, scattering and blow-up for the energy-critical, Schrödinger equation with indefinite potential in the radial case
Jun Wang, Zhaoyang Yin
In this paper, we study the well-posedness theory and the scattering asymptotics for the energy-critical, Schrödinger equation with indefinite potential \begin{equation*} \left\{\b…
Global well-posedness, scattering and blow-up for the energy-critical, Schrödinger equation with general nonlinearity in the radial case
Jun Wang, Zhaoyang Yin
In this paper, we study the well-posedness theory and the scattering asymptotics for the energy-critical, Schrödinger equation with general nonlinearity \begin{equation*} \left\{\b…
Multi-bump solutions for the nonlinear magnetic Schrödinger equation with logarithmic nonlinearity
Jun Wang, Zhaoyang Yin
In this paper, we study the following nonlinear magnetic Schrödinger equation with logarithmic nonlinearity \begin{equation*} -(\nabla+iA(x))^2u+λV(x)u =|u|^{q-2}u+u\log |u|^2,\ u\…