5 papers
Existence and dependency results for coupled Schrödinger equations with critical exponent on waveguide manifold
Jun Wang, Zhaoyang Yin
We study the coupled Schrödinger equations with critical exponent on . With the help of scaling argument and semivirial-vanishing technology, we obt…
Cauchy problem and dependency analysis for logarithmic Schrödinger equation on waveguide manifold
Hichem Hajaiej, Jun Wang, Zhaoyang Yin
In this paper, we develop a novel idea to study -dependence for the logarithmic Schrödinger equation on . Unlike \cite{STNT2014}(Analysis \& PD…
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…