3 papers
math.AP2018
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(\…
math.AP2012
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…
math.AP2010
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^{…