3 papers
math.AP2025
Morse index, topological degree and local uniqueness of multi-spikes solutions to the Lane-Emden problem in dimension two
Isabella Ianni, Peng Luo, Shusen Yan
We consider multi-spike positive solutions to the Lane-Emden problem in any bounded smooth planar domain and compute their Morse index, extending to the dimension classical t…
math.AP2025
New solutions for the Lane-Emden problem on planar domains
Luca Battaglia, Isabella Ianni, Angela Pistoia
We consider the Lane-Emden problem on planar domains. When the exponent is large, the existence and multiplicity of solutions strongly depend on the geometric properties of the dom…
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|^{…