L. Véron

activity

20062021

most citedElliptic Equations Involving Meausres

53 citations · 183 across the 67 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.AP2019★ 5 cited

General uniqueness results for large solutions

Julián López-Gómez, Luis Maire, Laurent Veron

We give a series of very general sufficient conditions in order to ensure the uniqueness of large solutions for -- $Δ$ u + f (x, u) = 0 in a bounded domain $Ω$ where f : $Ω$ x R $\ri…

math.AP2019★ 4 cited

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…