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math.AP2012
Solutions with multiple alternate sign peaks along a boundary geodesic to a semilinear Dirichlet problem
Teresa D'Aprile, Angela Pistoia
We study the existence of sign-changing multiple interior spike solutions for the following Dirichlet problem {equation*}\e^2Δv-v+f(v)=0\hbox{in}Ω,\quad v=0 \hbox{on}\partial Ω,{eq…
math.AP2012
Multiple blow-up solutions for the Liouville equation with singular data
Teresa D'Aprile
We study the existence of solutions with multiple concentration to the following boundary value problem $$-Δu=\e^2 e^u-4π\sum_{p\in Z}α_p δ_{p}\;\hbox{in} Ω,\quad u=0 \;\hbox{on}\p…