Teresa D'Aprile

Solitary wavesfor the nonlinear Klein-Gordon-Maxwell and Schrödinger-Maxwellequations

In this paper we study the existence of radially symmetric solitary waves for nonlinear Klein–Gordon equations and nonlinear Schrodinger equations coupled with Maxwell equations. The method relies on a variational approach and the solutions are obtained as mountain-pass critical points for the associated energy functional.

Non-Existence Results for the Coupled Klein-Gordon-Maxwell Equations

Abstract In this paper we obtain some non-existence results for the Klein-Gordon equation coupled with the electrostatic field. The method relies on the deduction of some suitable Pohožaev identity which provides necessary conditions to get existence of nontrivial solutions. The case of Maxwell-Schrödinger type coupled equations is also considered.

On bound states concentrating on spheres for the Maxwell-Schrödinger equation

We study the semiclassical limit for the following system of Maxwell--Schrodinger equations: \[ -\frac{\hbar^2}{2m}\Delta v + v + \omega\phi v - \gamma v^{p} =0, \;\; -\Delta\phi = 4\pi\omega v^2, \] where

Multiple Blow-Up Solutions for the Liouville Equation with Singular Data

\hbar

On the profile of sign-changing solutions of an almost critical problem in the ball

, m,

NODAL SOLUTIONS FOR SOME SINGULARLY PERTURBED DIRICHLET PROBLEMS

\omega

Nodal Clustered Solutions for Some Singularly Perturbed Neumann Problems

,

SOLUTIONS WITH MULTIPLE ALTERNATE SIGN PEAKS ALONG A BOUNDARY GEODESIC TO A SEMILINEAR DIRICHLET PROBLEM

\gamma >0

Equilibria of point-vortices on closed surfaces

, v,

Introduction to measure theory and functional analysis

\phi: \mathbb{R}^3 \to \mathbb{R}