Laurent V'eron

activity

20182023

collaborators

3 papers

math.AP2023

The Cauchy problem associated to the logarithmic Laplacian with an application to the fundamental solution

Huyuan Chen, Laurent Véron

Let $\lnlap$ be the logarithmic Laplacian operator with Fourier symbol $2 ln ∣ ζ ∣$ , we study the expression of the diffusion kernel which is associated to the equation $$\partial_tu…

math.AP2021

Singular solutions of some elliptic equations involving mixed absorption-reaction

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

We study properties of nonnegative functions satisfying (E) $- Δ u + u^{p} - M ∣\nabla u ∣^{q} = 0$ is a domain of $R^{N}$ when $p > 1$ , $M > 0$ and $1 < q < p$ . We concentrate our analysis on t…

math.AP2018

Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data

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

We study the equation --div(A(x, u)) = g(x, u, u) + $μ$ where $μ$ is a measure and either g(x, u, u) $\sim$ |u| q 1 u||u| q 2 or g(x, u, u) $\sim$ |u| s 1 u + ||u| s 2. We give suf…