Michela Guida

Compactness and existence results in weighted Sobolev spaces of radial functions. Part II: Existence

AbstractWe apply the compactness results obtained in the first part of this work, to prove existence and multiplicity results for finite energy solutions to the nonlinear elliptic equationn

A nonexistence result for a nonlinear elliptic equation with singular and decaying potential

-triangle u + V left(left|xright|right) u = g left(left|xright|, uright) quad {rm in} Omega subseteq mathbb{R}^{N},,N geq 3,

Nonlinear Schrodinger equations without compatibility conditions on the potentials

-▵u+Vxu=gx,uinΩ⊆RN,N≥3,where

Helicoidal trajectories of a charge in a nonconstant magnetic field

{Omega}

Closed curves in

Ω is a radial domain (bounded or unbounded) and u satisfies u =xa0 0 on