Sunghan Kim

activity

20162023

most citedIsolated Singularities for Semilinear Elliptic Systems with Power-Law Nonlinearity

9 citations · 16 across the 13 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.AP2018

Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity

Marius Ghergu, Sunghan Kim, Henrik Shahgholian

We study the semilinear elliptic equation \begin{equation*} -Δu=u^α|\log u|^β\quad\text{in }B_1\setminus\{0\}, \end{equation*} where $B_{1} \subset R^{n}$ with $n \geq 3$ , $\frac…

math.AP2018★ 9 cited

Isolated Singularities for Semilinear Elliptic Systems with Power-Law Nonlinearity

Marius Ghergu, Sunghan Kim, Henrik Shahgholian

We study the system $- Δ u = ∣ u ∣^{α - 1} u$ with $1 < α \leq \frac{n + 2}{n - 2}$ , where $u = (u_{1}, \dots, u_{m})$ , $m \geq 1$ , is a $C^{2}$ nonnegative function tha…