SOLUTION:
Found a solution.
Used parentNode:
$('.skaftetopmenu-li > a').click(function(e) {
   e.preventDefault();
   var subid = $(this.parentNode).attr('id');
   if (subid !="forsidemenu"){
      var str = $('#submenu-content-'+subid).html();
      if ($.trim(str) == ""){
         $('.submenu-content', this.parentNode).load('http://' + skafte.base_url + '/inc/top-menu-subs/'+subid+'_submenu.html');
      }
   }
});
I have a menu like this:
<ul>
  <li class="parent">
    <a href="url">Link title parent</a>
    <ul>
      <li><a href="url">Link title child</a></li>
    </ul>
  </li>
</ul>
I have tried the following in jQuery:
$('.parent').click(function(e) {
  e.preventDefault();
});
However this disables all the elements in the whole menu structure. I want to only disable the parent links. The ones in "ul li", and not the links in "ul ul li", but I can't figure out how and I have searched and searched. So please help me out!
EDIT: Thank you for the answers. I thought I would simplify my code in the question but that actually didn't benifit me. So heres the actual code I'm using:
$('.skaftetopmenu-li').click(function(e) {
   var subid = $(this).attr('id');
   if (subid !="forsidemenu"){
      var str = $('#submenu-content-'+subid).html();
      if ($.trim(str) == ""){
         $('.submenu-content', this).load('http://' + skafte.base_url + '/inc/top-menu-subs/'+subid+'_submenu.html');
      }
   }
});
And the HTML:
<li class="skaftetopmenu-li" id="priser">
   <a href="http://<?php echo DOMAIN?>/priser.php">Priser & Sortiment</a>
   <div class="submenu-content" id="submenu-content-priser"></div>
</li>
If I try to do as you suggest and set it to:
$('.skaftetopmenu-li > a').click(function(e) {
   e.preventDefault();
It doesn't work..
Similar to Austin Mullins' answer, I think you want this:
$('li.parent > a').click(function(e) {
    e.preventDefault();
});
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