3 papers
math.AP2026
Optimal partition and segregation problems driven by torsional rigidity
Gabriele Fioravanti, Nicola Soave, Giorgio Tortone
Spectral optimal partition and segregation problems are deeply connected with harmonic maps, eigenfunctions, and the fine structure of nodal sets for linear elliptic equations. In…
math.AP2026
Ground states for the NLS equation with combined nonlinearity on periodic metric graphs
Nicola Soave, Lorenzo Villata
We investigate the existence of ground states with prescribed mass for the Non-Linear Schrödinger energy with combined nonlinearities on and -periodic metric graphs. This is…
math.AP2025
On the subcritical Lane-Emden equation on Riemannian models with polynomial volume growth
Alessandra De Luca, Matteo Muratori, Nicola Soave
We focus on the problems of existence and non-existence of positive solutions for the Sobolev-subcritical Lane-Emden equation on certain Riemannian manifolds (mainly models) with a…