598 citations
- Hanyang UniversityKR30 papers
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Showing 2018Show all
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math.PR2018
Dirichlet forms and ultrametric Cantor sets associated to higher-rank graphs
Jaeseong Heo, Sooran Kang, Yongdo Lim
The aim of this paper is to study the heat kernel and jump kernel of the Dirichlet form associated to ultrametric Cantor sets $\partial\BB_Λ$ that is the infinite path space of the…
math.AP2018★ 1 cited
Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola
Woocheol Choi, Seunghyeok Kim
The Lane-Emden system is written as \begin{equation*} \begin{cases} -Δu = v^p &\text{in } Ω,\\ -Δv = u^q &\text{in } Ω,\\ u, v > 0 &\text{in } Ω,\\ u = v = 0 &\text{on } \partial Ω…