5 papers
On the uniqueness of bound state solutions of a semilinear equation with weights
Carmen Cortazar, Marta Garcia-Huidobro, Pilar Herreros
We consider radial solutions of a general elliptic equation involving a weighted Laplace operator. We establish the uniqueness of the radial bound state solutions to $$ {div}\big(\…
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…
Keller-Osserman estimates for some quasilinear elliptic systems
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Cecilia Yarur
In this article we study quasilinear multipower systems of two equations of two types, in a domain of R^{N} : with absorption terms, or mixed terms. Despite of the lack of comp…
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^{…
Backward blow-up estimates and initial trace for a parabolic system of reaction-diffusion
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Cecilia Yarur
In this article we study the positive solutions of the parabolic semilinear system of competitive type \[ \left\{\begin{array} [c]{c}% u_{t}-Δu+v^{p}=0, v_{t}-Δv+u^{q}=0, \end{arra…