You can try this:
$('div').click(function(e){
if(e.offsetY >$(this).outerHeight() - 4){
alert('clicked on the bottom border!');
}
});
The .outerHeight() just returns the height of the content (including border). The e.offsetY returns the clicked Y relative to the element. Note about the outerHeight, if passing a bool true argument, it will include margin in the calculated value, the default is false, so it just returns content height + padding + border.
UPDATE: Looks like FireFox has its own way of behavior. You can see that when clicking, holding mouse down on an element, it's very natural and convenient to know the coordinates of the clicked point relative to the element. But looks like we have no convenient way to get that coordinates in the so-called FireFox because the e.offsetX and e.offsetY simply don't work (have no value). Instead you have to use the pageX and pageY to subtract the .offset().left and .offset().top respectively to get the coordinates relative to the element.