L. Véron

activity

20062021

most citedElliptic Equations Involving Meausres

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

collaborators

Showing 2017Show all

5 papers · 1 filter

math.AP2017

Initial trace of positive solutions to fractional diffusion equation with absorption

Huyuan Chen, Laurent Veron

In this paper, we prove the existence of an initial trace T u of any positive solution u of the semilinear fractional diffusion equation (H) $\partial$ t u + (-- $Δ$ ) $α$ u + f (t,…

math.AP2017★ 32 cited

Estimates of solutions of elliptic equations with a source reaction term involving the product of the function and its gradient

Marie-Françoise Bidaut-Veron, Marta Garcia-Huidobro, Laurent Veron

We study local and global properties of positive solutions of $- Δ u = u^{p}] ∣ \nabla u ∣^{q}$ in a domain $Ω$ of $R^{N}$ , in the range $1\<p+q$, $p \geq 0$ , $0\leq q…

math.AP2017

Quasilinear and Hessian Lane-Emden type systems with measure data

Marie-Françoise Bidaut-Véron, Quoc-Hung Nguyen, Laurent Véron

We study nonlinear systems of the form $- Δ_p u = v^{q_1} + μ, - Δ_p v = u^{q_2} + η$ and $F_k [- u] = v^{s_1} + μ, F_k [- v] = u^{s_2} + η$ in a bounded domain $Ω$ or in $R^{N}$ where $μ…

math.AP2017

Boundary singularities of solutions to semilinear fractional equations

Phuoc-Tai Nguyen, Laurent Veron, Laurent Eron

We prove the existence of a solution of (-- $Δ$ ) s u + f (u) = 0 in a smooth bounded domain $Ω$ with a prescribed boundary value $μ$ in the class of positive Radon measures for a la…

math.AP2017

Separable infinite harmonic functions in cones

Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Véron

We study the existence of separable infinite harmonic functions in any cone of R N vanishing on its boundary under the form u(r, $σ$ ) = r -- $β$ $ω$ ( $σ$ ). We prove that such solutio…