You can use .is()
.
if( $('#leftmenu').is(':empty') ) {
// ...
Or you could just test the length
property to see if one was found.
if( $('#leftmenu:empty').length ) {
// ...
Keep in mind that empty means no white space either. If there's a chance that there will be white space, then you can use $.trim()
and check for the length of the content.
if( !$.trim( $('#leftmenu').html() ).length ) {
// ...