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20132021
most citedExistence of mixed type solutions in the Chern-Simons gauge theory of rank two in

10 citations · 16 across the 8 of their papers we have counts for

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math.AP2021

Infinitely many segregated vector solutions of Schrodinger system

Ohsang Kwon, Min-Gi Lee, Youngae Lee

We consider the following system of Schrödinger equations \begin{equation*}\left.\begin{cases} -ΔU + λU = α_0 U^3+ βUV^2 -ΔV + μ(y) V = α_1 V^3+βU^2V \end{cases}\right. \text{in} \…

math.AP2020

Blow up at infinity in the SU(3) Chern-Simons model, part I

Ting-Jung Kuo, Youngae Lee, Chang-Shou Lin

We consider non-topological solutions of a nonlinear elliptic system problem derived from the Chern-Simons models in . The existence of non-topological soluti…

math.AP2020

The asymptotic behavior of Chern-Simons Vortices for Gudnason Model

Youngae Lee

We consider an elliptic system arising from a supersymmetric gauge field theory. In this paper, we complete to classify all possible solutions according to their asymptotic behavio…

math.AP2019

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…

math.AP2019

Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data

Daniele Bartolucci, Aleks Jevnikar, Youngae Lee +1

We are concerned with the mean field equation with singular data on bounded domains. Under suitable non-degeneracy conditions we prove local uniqueness and non-degeneracy of bubbli…

math.AP2018

Existence of bubbling solutions without mass concentration

Youngae Lee, Chang-Shou Lin, Wen Yang

The seminal work \cite{bm} by Brezis and Merle has been pioneering in studying the bubbling phenomena of the mean field equation with singular sources. When the vortex points are n…