11 citations · 11 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Antisymmetric maximum principles and Hopf's lemmas for the Logarithmic Laplacian, with applications to symmetry results
Luigi Pollastro, Nicola Soave
We prove antisymmetric maximum principles and Hopf-type lemmas for linear problems described by the Logarithmic Laplacian. As application, we prove the symmetry of solutions for se…
Symmetry and uniqueness of nonnegative solutions of some problems in the halfspace
A. Farina, N. Soave
We derive some 1-D symmetry and uniqueness or non-existence results for nonnegative solutions of some elliptic system in the halfspace in low dimension. Our method is base…