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Showing 2006 · math.APShow all
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math.AP2006
The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity
Manuel del Pino, Claudio Muñoz
We consider the problem of Ambrosetti-Prodi type \begin{equation}\label{0}\quad\begin{cases} Δu + e^u = sϕ_1 + h(x) &\hbox{in} Ω, u=0 & \hbox{on} \partial Ω, \end{cases} \nonumber…
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…