Huyuan Chen

most citedExistence, Non-existence, Uniqueness of solutions for semilinear elliptic equations involving measures concentrated on boundary

4 citations · 5 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2015★ 1 cited

Boundary blow-up solutions to fractional elliptic equations in a measure framework

Huyuan Chen, Hichem Hajaiej, Ying Wang

Let $α \in (0, 1)$ , $Ω$ be a bounded open domain in $R^{N}$ ( $N \geq 2$ ) with $C^{2}$ boundary $\partial Ω$ and $ω$ be the Hausdorff measure on $\partial Ω$ . We denote by $\frac{\partial^αω}{…

math.AP2014★ 4 cited

Existence, Non-existence, Uniqueness of solutions for semilinear elliptic equations involving measures concentrated on boundary

Huyuan Chen, Hichem Hajaiej

The purpose of this paper is to study the weak solutions of the fractional elliptic problem \begin{equation}\label{000} \begin{array}{lll} (-Δ)^αu+εg(u)=k\frac{\partial^αν}{\partia…