4 citations · 5 across the 6 of their papers we have counts for
6 papers
Periodic Maxwell-Chern-Simons vortices with concentrating property
Weiwei Ao, Youngae Lee, Ohsang Kwon
In order to study electrically and magnetically charged vortices in fractional quantum Hall effect and anyonic superconductivity, the Maxwell-Chern-Simons (MCS) model was introduce…
Stable Boundary Spike Clusters for the Two-Dimensional Gierer-Meinhardt System
Weiwei Ao, Juncheng Wei, Matthias Winter
We consider the Gierer-Meinhardt system with small inhibitor diffusivity and very small activator diffusivity in a bounded and smooth two-dimensional domain. For any given positive…
Boundary concentrations on segments
Weiwei Ao, Hardy Chan, Juncheng Wei
We consider the following singularly perturbed Neumann problem \begin{eqnarray*} \ve^2 Δu -u +u^p = 0 \, \quad u>0 \quad {\mbox {in}} \quad Ω, \quad {\partial u \over \partial ν}=0…
Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrödinger equations
Weiwei Ao, Monica Musso, Juncheng Wei
We prove that the non-radial sign-changing solutions to the nonlinear Schrödinger equation \begin{equation*} Δu-u+|u|^{p-1}u=0 \mbox{ in }\R^N, \quad u \in H^1 (\R^N ) \end{equatio…
Infinitely many positive solutions for nonlinear equations with non-symmetric potential
Weiwei Ao, Juncheng Wei
We consider the following nonlinear Schrodinger equation [{l} Δu-(1+δV)u+f(u)=0 in \R^N, u>0 in \R^N, u\in H^1(\R^N).] where is a potential satisfying some decay condition and…
An optimal bound on the number of interior spike solutions for Lin-Ni-Takagi problem
Weiwei Ao, Juncheng Wei, Jing Zeng
We consider the following singularly perturbed Neumann problem {eqnarray*} \ve^2 Δu -u +u^p = 0 \quad {in} \quad Ω, \quad u>0 \quad {in} \quad Ω, \quad {\partial u \over \partial ν…