Huyuan Chen

activity

20132026

most citedSingular solutions of fractional elliptic equations with absorption

8 citations · 20 across the 38 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

4 papers · 2 filters

math.AP2019

Complex solutions and stationary scattering for the nonlinear Helmholtz equation

Huyuan Chen, Gilles Evéquoz, Tobias Weth

We study a stationary scattering problem related to the nonlinear Helmholtz equation $-Δu - k^2 u = f(x,u) \ \ \text{in $\mathbb{R}^N$,}$ where $N \geq 3$ and $k > 0$ . For a given inc…

math.AP2019

Boundary singularities of semilinear elliptic equations with Leray-Hardy potential

Huyuan Chen, Laurent Veron

We study existence and uniqueness of solutions of (E 1) -- $Δ$ u + $μ$ |x| ^{-2} u + g(u) = $ν$ in $Ω$ , u = $λ$ on $\partial$ $Ω$ , where $Ω$ $\subset$ R N + is a bounded smooth domain…

math.AP2019★ 2 cited

Schr{ö}dinger operators with Leray-Hardy potential singular on the boundary

Huyuan Chen, Laurent Veron

We study the kernel function of the operator u $\to$ L $μ$ u = -- $Δ$ u + $μ$ |x| 2 u in a bounded smooth domain $Ω$ $\subset$ R N + such that 0 $\in$ $\partial$ $Ω$ , where $μ…

math.AP2019★ 1 cited

Weak solutions of semilinear elliptic equations with Leray-Hardy potential and measure data

Laurent Veron, Huyuan Chen

We study existence and stability of solutions of (E 1) -- $Δ$ u + $μ$ |x| 2 u + g(u) = $ν$ in $Ω$ , u = 0 on $\partial$ $Ω$ , where $Ω$ is a bounded, smooth domain of R N , N $\geq$ 2, c…