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math.AP2024
Sharp boundary concentration for a two-dimensional nonlinear Neumann problem
Francesca De Marchis, Habib Fourti, Isabella Ianni
We consider the elliptic equation in a bounded, smooth domain subject to the nonlinear Neumann boundary condition $\partial u/\partialν= |u|^{p-1…
math.AP2017★ 1 cited
Prescribed Gauss curvature problem on singular surfaces
Teresa D'Aprile, Francesca De Marchis, Isabella Ianni
We study the existence of at least one conformal metric of prescribed Gaussian curvature on a closed surface admitting conical singularities of orders 's at points 's…
math.AP2016
Asymptotic profile of positive solutions of Lane-Emden problems in dimension two
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider families of solutions to the problem \begin{equation}\label{problemAbstract} \left\{\begin{array}{lr}-Δu= u^p & \mbox{ in }Ω\\ u>0 & \mbox{ in }Ω\\ u=0 & \mbox{ o…