15 citations · 19 across the 8 of their papers we have counts for
Showing 2006Show all
3 papers · 1 filter
math.AP2006★ 3 cited
Asymptotic behaviour of a semilinear elliptic system with a large exponent
Ignacio Guerra
Consider the problem \begin{eqnarray*} -Δu &=& v^{\frac 2{N-2}},\quad v>0\quad {in}\quad Ω, -Δv &=& u^{p},\:\:\:\quad u>0\quad {in}\quad Ω, u&=&v\:\:=\:\:0 \quad {on}\quad \partial…
math.AP2006
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…
math.AP2006
Solutions of an elliptic system with a nearly critical exponent
Ignacio Guerra
Consider the problem \begin{eqnarray*} -Δu_\e &=& v_\e^p \quad v_\e>0\quad {in}\quad Ω, -Δv_\e &=& u_\e^{q_\e}\quad u_\e>0\quad {in}\quad Ω, u_\e&=&v_\e\:\:=\:\:0 \quad {on}\quad \…