32 citations · 61 across the 20 of their papers we have counts for
27 papers
Local behaviour of the solutions of the Chipot-Weissler equation
Marie-Françoise Bidaut-Véron, Laurent Véron
We study the local properties of positive solutions of the equation in a punctured domain of or in a exterior domain $\math…
Trace and boundary singularities of positive solutions of a class of quasilinear equations
Marie-Françoise Bidaut-Véron, Laurent Véron
We study properties of positive functions satisfying (E) --u+m|u| q -- u p = 0 is a domain or in R N + when p > 1 and 1 < q < 2. We give sufficient conditions for th…
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…
Liouville results and asymptotics of solutions of a quasilinear elliptic equation with supercritical source gradient term
Marie-Françoise Bidaut-Veron
We consider the elliptic quasilinear equation -- m u = u p |u| q in R N with q m and p > 0, 1 < m < N. Our main result is a Liouville-type property, namely, all th…
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…
A priori estimates for elliptic equations with reaction terms involving the function and its gradient
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron
We study local and global properties of solutions of --u = u p + M ||u| q in a domain of R N , in the range min{p, q} > 1 and M R. We prove a priori estimates and exis…