David Luiz scored his first goal for Premier League. © AFP Arsenal edged up to third in the Premier League as David Luiz’s first goal for the club earned a 1-0 win over Bournemouth on Sunday. Luiz has been a figure of fun for a host of defensive errors early in his Arsenal career after making the switch across London from Chelsea in August. However, the Brazilian is always a threat at the other end of the field and rose highest to head home Nicolas Pepe’s corner on nine minutes. Bournemouth had enough chances to at least earn a point with Callum Wilson missing the clearest opportunity, but Arsenal held out to record their first clean sheet in the Premier League since the opening day of the season.Victory moves Unai Emery’s men a point above Leicester, Chelsea and Crystal Palace in the early running for a top-four finish.Pepe has struggled to match the expectations of his club-record 72 million pound ($88 million) transfer fee since a summer move from Lille, but was told by Unai Emery to embrace the pressure of that price tag and the Ivorian was in the mood to impress.Twice Arsenal had penalty appeals for fouls on…