I've not paid much attention to this debate in the pages of BAR over the last several years. The issue is whether the House of David is mentioned in the rather poorly preserved text of the Mesha Stele or Moabite Stone. Anyway, you can go over the discussion at the link: mostly BHD summaries, although one full article appears and the last one, at least at present, is completely 404'ed.
For more on the proposed reading "House of David," see here—although the Haaretz article is now behind the subscription wall—and the links here. For many other PaleoJudaica posts on the Mesha Stele, start here and follow the links.
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