1 citations · 1 across the 6 of their papers we have counts for
6 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…
Doubling the equatorial for the prescribed scalar curvature problem on
Lipeng Duan, Monica Musso, Suting Wei
We consider the prescribed scalar curvature problem on $$ Δ_{{\mathbb S}^N} v-\frac{N(N-2)}{2} v+\tilde{K}(y) v^{\frac{N+2}{N-2}}=0 \quad \mbox{on} \ {\mathbb S}…
On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains: clustering concentration layers
Suting Wei, Jun Yang
We consider the clustering concentration on curves for solutions to the problem $$ \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…
Large number of bubble solutions for a perturbed fractional Laplacian equation
Chunhua Wang, Suting Wei
This paper deals with the following nonlinear perturbed fractional Laplacian equation wh…
On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains
Suting Wei, Bin Xu, Jun Yang
We consider the problem $$ ε^2 Δu-V(y)u+u^p\,=\,0,~~u>0~~\quad\mbox{in}\quadΩ,~~\quad\frac {\partial u}{\partial ν}\,=\,0\quad\mbox{on}~~~\partial Ω, $$ where is a bounded doma…