1 citations · 2 across the 9 of their papers we have counts for
9 papers
Solutions with one dimensional concentration for a two dimensional Gross-Pitaevskii model with general potential
Lipeng Duan, Suting Wei, Jun Yang
We concern standing wave solutions with frequency to a two dimensional Gross-Pitaevskii equation with a trap potential under the unit mass constraint, which is used to describe…
Von Neumann Dimensions and Trace Formulas I: Limit Multiplicities
Jun Yang
Given a connected semisimple Lie group and an arithmetic subgroup , it is well-known that each irreducible representation of occurs in the discrete spectrum $L^2_{\t…
The helical vortex filaments of Ginzburg-Landau system in
Lipeng Duan, Qi Gao, Jun Yang
We consider the following coupled Ginzburg-Landau system in \begin{align*} \begin{cases} -ε^2 Δw^+ +\Big[A_+\big(|w^+|^2-{t^+}^2\big)+B\big(|w^-|^2-{t^-}^2\big)\Big…
On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains: clustering concentration layers
Suting Wei, Jun Yang
We consider the clustering concentration on curves for solutions to the problem $$ \varepsilon^2 {\mathrm {div}}\big( \nabla_{{\mathfrak a}(y)} u\big)- V(y)u+u^p\, =\, 0, \quad u>0…
Clustering of Boundary Interfaces for an inhomogeneous Allen-Cahn equation on a smooth bounded domain
Lipeng Duan, Suting Wei, Jun Yang
We consider the inhomogeneous Allen-Cahn equation $$ ε^2Δu\,+\,V(y)(1-u^2)\,u\,=\,0\quad \mbox{in}\ Ω, \qquad \frac {\partial u}{\partial ν}\,=\,0\quad \mbox{on}\ \partial Ω, $$ wh…
On the non-degeneracy of radial vortex solutions for a coupled Ginzburg-Landau system
Lipeng Duan, Jun Yang
For the following Ginzburg-Landau system in \begin{align*} \begin{cases} -Δw^+ +\Big[A_+\big(|w^+|^2-{t^+}^2\big)+B\big(|w^-|^2-{t^-}^2\big)\Big]w^+=0, \\[3mm] -Δw^…