Showing 2010Show all
2 papers · 1 filter
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^{…
math.AP2010
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…