32 citations · 63 across the 19 of their papers we have counts for
24 papers
Local and global properties of solutions of an elliptic equation involving exponential and gradient reaction
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Véron
We study some local and global properties of solutions of $-Δu- m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain , or in an exterior domain of , , wh…
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…
On the uniqueness of solutions of a semilinear equation in an annulus
Carmen Cortázar, Marta Garcia-Huidobro, Pilar Herreros +1
We establish the uniqueness of positive radial solutions of where $A:=A_{a,b}=\{ x\in {\math…
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…
Interpolation inequalities in W1,p(S1) and carr{é} du champ methods
Jean Dolbeault, Marta Garcia-Huidobro, Raul Manásevich
This paper is devoted to an extension of rigidity results for nonlinear differential equations, based on carr{é} du champ methods, in the one-dimensional periodic case. The main re…
Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron
We study global properties of positive radial solutions of --u = up +M |u|p+1 in RN wherep > 1 and M is a real number. We prove the existence or the non-existence of gro…