73 citations · 413 across the 37 of their papers we have counts for
4 papers · 1 filter
The unique continuation property of sublinear equations
Nicola Soave, Tobias Weth
We derive the unique continuation property of a class of semi-linear elliptic equations with non-Lipschitz nonlinearities. The simplest type of equations to which our results apply…
Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
Alberto Farina, Berardino Sciunzi, Nicola Soave
In this paper we prove the validity of Gibbons' conjecture for a coupled competing Gross-Pitaevskii system. We also provide sharp a priori bounds, regularity results and additional…
Multiple normalized solutions for a competing system of Schrödinger equations
Thomas Bartsch, Nicola Soave
We prove the existence of infinitely many solutions , , for the nonlinear Schrödinger system \[ \begin{cases} -Δu - λ_1 u = μu^3…
Variational problems with long-range interaction
Nicola Soave, Hugo Tavares, Susanna Terracini +1
We consider a class of variational problems for densities that repel each other at distance. Typical examples are given by the Dirichlet functional and the Rayleigh functional \[ D…