Makeup magnate Ron Perelman is refusing to let his ex-wife Ellen Barkin stick it to him in court over money. He’s vowing to fight on after the State Appellate Division yesterday said the billionaire Revlon head has to fork over the $4.3 million-plus he agreed to pay the “Sea of Love” star’s production company, Applehead, in 2006. While Barkin, who earlier won a $20 million divorce settlement, was celebrating yesterday’s ruling, Perelman — who wed Dr. Anna Chapman last month — was preparing for the next round in their legal battle by alleging Applehead was mismanaged. His spokeswoman, Christine Taylor, told us, “We still maintain Ms. Barkin should not be entitled to any additional money beyond the enormous settlement she received five years ago. Mr. Perelman has moved on from this and is leaving it to his attorneys to handle the still-pending claims against Ms. Barkin and others based on their misconduct in managing and controlling Applehead Pictures.”