JQuery :: Re-apply - After Ajax Request

I'm writing a little application with JSF 2.0 + jQuery. My page contains a simple input form, a submit button and a div containing one div for each string that the user type in the input text field. i'm using JSF 2.0 ajax to send the request to the server and rerendering only the div-container, with the updated content. Initially the div contains a single div with a text example for the user. Every div inserted by the user has the style-class "user", so with jquery I manipulate all off them through a simple function.

Here my code:

But i've encountered this problem when I started using ajax: my jquery function doesn't work on the new content, so I started trying to resolve the problem with live() method as suggested in the FAQ and on several posts

So my code changed a little:

This code doesn't work at all after the submit event, so for test purpose only i've changed the event to click and ,using the event generated from the mouse click, it's working.

But obviously i need to apply my jquery function right after the ajax request and without the user's partecipation.

I'm testing this code on Firefox 3.6.13, but i need it to work correctly also on IE8, Chrome 8 and Opera 10

What's wrong in my code?I have bound the wrong event to the div-container and instead I have to bind the submit-event to the form?