10 citations · 10 across the 5 of their papers we have counts for
6 papers · 1 filter
Remarks on some quasilinear equations with gradient terms and measure data
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron
Let be a smooth bounded domain, a Caratheodory function defined in and a bounded Radon measure in We study…
On the existence of sign changing bound state solutions of a quasilinear equation
Carmen Cortázar, Marta Garcia-Huidobro, Cecilia Yarur
In this paper we establish the existence of bound state solutions of any given order to where $Δ_m u=\nabla\cdot(|\nabla u|^{m-2}\nabla…
Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator
Jean Dolbeault, Marta Garcia-Huidobro, Raul Manásevich
We consider radial solutions of an elliptic equation involving the p-Laplace operator and prove by a shooting method the existence of compactly supported solutions with any prescri…
Large solutions of elliptic systems of second order and applications to the biharmonic equation
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Cecilia Yarur
In this work we study the nonnegative solutions of the elliptic system Δu=|x|^{a}v^δ, Δv=|x|^{b}u^μ in the superlinear case μδ>1, which blow up near the boundary of a domain of R^{…
On the Uniqueness of Positive Solutions of a Quasilinear Equation Containing a Weighted p-Laplacian, the Superlinear Case
Marta Garcia-Huidobro, Duvan Henao
We consider the problem of uniqueness of positive solutions to boundary value problems containing the equation: -Δ_p u =K(|x|)f(u), p>1. f is positive, is locally Lipschitz and sat…
On Regions of Existence and Nonexistence of solutions for a System of --Laplacians
Philippe Clement, Marta Garcia-Huidobro, Ignacio Guerra +1
We give a new region of existence of solutions to the superhomogeneous Dirichlet problem $$ \quad \begin{array}{l} -Δ_{p} u= v^δ\quad v>0\quad {in}\quad B,\cr -Δ_{q} v = u^μ\quad u…