activity
20062021
most citedElliptic Equations Involving Meausres

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

collaborators

74 papers

math.AP2021

Measure data problems for a class of elliptic equations with mixed absorption-reaction

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

We study the existence of nonnegative solutions to the Dirichlet problem $\CL^{_{^M}}_{p,q}u:=-Δu+u^p-M|\nabla u|^q=μ$ in a domain $Ω\subset\BBR^N$ where is a nonnegative Radon…

math.AP2020

Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian

Huyuan Chen, Laurent Veron

We provide bounds for the sequence of eigenvalues of the Dirichlet problem wher…

math.AP2020

Boundary singular solutions of a class of equations with mixed absorption-reaction

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

We study properties of positive functions satisfying (E) --u + u p -- M |u| q = 0 is a domain or in R N + when p > 1 and 1 < q < min{p, 2}. We concentrate our resear…

math.AP2020★ 1 cited

Nonlinear boundary value problems relative to one dimensional heat equation

Laurent Veron

We consider the problem of existence of a solution to in subject to the boundary condition …

math.AP2020★ 2 cited

Nonlinear boundary value problems relative to harmonic functions

Oussama Boukarabila, Laurent Veron

We study the problem of finding a function u verifying --u = 0 in under the boundary condition u n + g(u) = on where R N…

math.AP2020

Qualitative properties of solutions to semilinear elliptic equations from the gravitational Maxwell Gauged O(3) Sigma model

Huyuan Chen, Hichem Hajaiej, Laurent Veron

This article is devoted to the study of the following semilinear equation with measure data which originates in the gravitational Maxwell gauged sigma model, $$-Δu + A_0(\pr…