Wealthy residents of the exclusive Swiss Alps ski resort town of Gstaad got their mink fur coats all ruffled when design icon Valentino Garavani continued playing loud Madonna music late into the night at his New Year’s Eve bash at his chalet. A source tells us, “They were playing dance music all night, and a lot of Madonna songs. A number of residents complained to the police as it was echoing around the mountain, and one officer went to speak to someone at the gate of Valentino’s chalet. But it didn’t seem to make much difference, and the music just carried on.” The bash at Garavani’s and his partner Giancarlo Giammetti’s chalet drew Madonna herself, her daughter, Lourdes, and her boyfriend, Brahim Zaibat. We’re told the three “danced all night.” Also there were “Les Misérables” star Anne Hathaway (who was recently married in a Valentino gown) and her new husband, Adam Shulman, who have been hitting the slopes with the perma-tanned designer. A rep for Valentino didn’t get back to us.