3 citations · 3 across the 4 of their papers we have counts for
5 papers
Blow-up phenomena for the Liouville equation with a singular source of integer multiplicity
Teresa D'Aprile
We are concerned with the existence of blowing-up solutions to the following boundary value problem $$-Δu= \la a(x) e^u-4πN δ_0\;\hbox{ in } Ω,\quad u=0 \;\hbox{ on }\partial Ω,$$…
Equilibria of point-vortices on closed surfaces
Teresa D'Aprile, Pierpaolo Esposito
We discuss the existence of equilibrium configurations for the Hamiltonian point-vortex model on a closed surface . The topological properties of determine the occurrence of…
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…
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…
Positive and sign-changing clusters around saddle points of the potential for nonlinear elliptic problems
Teresa D'Aprile, David Ruiz
We study the existence of positive and sign-changing multipeak solutions for the stationary Nonlinear Schroedinger Equation. Here no symmetry on is assumed. It is known that th…