23 citations · 55 across the 25 of their papers we have counts for
5 papers · 1 filter
Normalized nonlinear Schrödinger ground states on defected grids with unbounded defects
William Borrelli, Nicolò Cangiotti, Simone Dovetta +1
We study normalized ground states for the nonlinear Schrödinger energy on two-dimensional square grids with unbounded defects. We first show that unbounded defects do not necessari…
Nonlinear Schrödinger Equation with magnetic potential on metric graphs
Nicolò Cangiotti, Ivan Gallo, David Spitzkopf
In this manuscript, we shall investigate the Nonlinear Magnetic Schrödinger Equation on noncompact metric graphs, focusing on the existence of ground states. We prove that the magn…
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators
Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1
In this paper we prove existence of solutions to Schrödinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schröding…
Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators
Nicolò Cangiotti, Maicol Caponi, Alberto Maione +1
Classical results concerning Klein-Gordon-Maxwell type systems are shortly reviewed and generalized to the setting of mixed local-nonlocal operators, where the nonlocal one is allo…
Dimensional Universality of Schauder Estimates Constants for Fourth Order Heat-Type Equations
Nicolò Cangiotti, Lorenzo Marino
A new method to compute Schauder Estimates for multidimensional fourth order heat-type equations is proposed. In particular, we show how knowing Schauder or Sobolev estimates for t…