Francesca Da Lio

collaborators

2 papers

math.DG2024

Morse Index Stability for the Ginzburg-Landau Approximation

Francesca Da Lio, Matilde Gianocca

In this paper we study the behaviour of critical points of the Ginzburg-Landau perturbation of the Dirichlet energy into the sphere $E_\varepsilon(u):=\int_Σ\frac{1}{2}|du|^2_h\ \,…

math.AP2023

Blow-up Analysis of Stationary Solutions to a Liouville-Type Equation in 3-D

Francesca Da Lio, Ali Hyder

In this paper we study the asymptotic behavior of sequences of stationary weak solutions to the following Liouville-type equation $- Δ u = e^{u} in Ω$ , where $Ω$ is an open set of…