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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…