If you want to fix to plasterboard, I have found these to be very solid fixings...
http://www.screwfix.com/app/sfd/sea/searchresults.jsp;jsessionid=2M2LD2KJJZ25SCSTHZOSFFY?_dyncharset=UTF-8&howMany=15&searchText=11923&x=7&y=13
But, if its an 'adjoining wall to my neighbour' then it will...