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* Corresponding author. E-mail addresses: jdavila@dim.uchile.cl (J. Dávila), dupaigne@math.univ-lyon1.fr (L. Dupaigne), wangkelei@wipm.ac.cn (K. Wang), wei@math.cuhk.edu.hk (J. Wei).… (More)

We study the qualitative properties of a limiting elliptic system arising in phase separation for Bose-Einstein condensates with multiple states: ∆u = uv in R, ∆v = vu in R, u, v > 0 in R.… (More)

- Kelei Wang, Juncheng Wei, J. Wei
- 2015

We consider the following elliptic system with fractional Laplacian −(−∆)su = uv, −(−∆)sv = vu, u, v > 0 on R, where s ∈ (0, 1) and (−∆)s is the s-Lapalcian. We first prove that all positive… (More)

- Kelei Wang, Juncheng Wei, J. Wei
- 2013

We give a qualitative analysis of sequences of stationary solutions to the supercritical problem −∆u = |u|p−1u in Ω, p > n + 2 n− 2 . A consequence of the analysis is the existence of positive… (More)

- Xianzhi Chen, Yan Wang, Jianlei Shi, Longjing Zhu, Kelei Wang, Jian Xu
- Yi chuan = Hereditas
- 2014

Heat shock factors (HSFs) are ubiquitous in eukaryotes with diversification in structural feature and biological function in plants. Based on the availability of whole cucumber genome sequences, we… (More)

- Kelei Wang, Juncheng Wei, J. Wei
- 2015

This paper concerns rigidity results to Serrin’s overdetermined problem in an epigraph ∆u + f(u) = 0, in Ω = {(x′, xn) : xn > φ(x′)}, u > 0, in Ω, u = 0, on ∂Ω, |∇u| = const., on ∂Ω. We prove… (More)

- Yong Liu, Kelei Wang, Juncheng Wei
- 2016

We prove the existence of nontrivial global minimizers of the AllenCahn equation in dimension 8 and above. More precisely, given any strict area-minimizing Lawson’s cone, there is a family of global… (More)

- Juncheng Wei, Kelei Wang
- 2012

We study the following nonlinear elliptic problem −∆u = F (u) in R where F (u) is a periodic function. Moser (1986) showed that for any minimal and nonself-intersecting solution, there exist α ∈ R… (More)

- Yong Liu, Kelei Wang, Juncheng Wei
- 2017

From minimal surfaces such as Simons’ cone and catenoids, using refined Lyapunov-Schmidt reduction method, we construct new solutions for a free boundary problem whose free boundary has two… (More)

- Yong Liu, Kelei Wang, Juncheng Wei
- 2017

We construct a smooth axially symmetric solution to the classical one phase free boundary problem in R, n ≥ 3. Its free boundary is of “catenoid” type. This is a higher dimensional analogy of the… (More)

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