LONDON — Manchester City stayed top with a late 1-0 win over Crystal Palace while Manchester United downed Liverpool 3-1 and Arsenal beat Stoke City 2-0 to stay on their coat-tails in the Premier League Saturday. Champion Chelsea ended the day in 16th place, 11 points behind the leader, when it crashed to another defeat, beaten 3-1 at Everton where Scotland striker Steven Naismith came off the bench to score a hat trick. City has 15 points from five successive wins, followed by United and Arsenal on 10 and Palace on nine. Liverpool dropped to ninth after 36 million pounds ($55.54 million) teenage signing Anthony Martial secured the points for United with a dazzling late goal on his debut after Christian Benteke had scored with a brilliant overhead kick for the visitors. Daley Blind curled United ahead from the edge of the area four minutes after the restart before Ander Herrera slammed a penalty into the roof of the net after Liverpool's 18-year-old full back Joe Gomez clumsily felled the Spaniard. Another teenager, Kelechi Iheanacho, clinched the points for Manchester City when he came on in the 89th minute at Selhurst Park and scored the winner a minute later. Nemanja Matic pulled Chelsea back into the game with a well-taken 30-meter drive nine minutes before the break, but Chelsea rarely threatened again and look a pale shadow of the team that won the title last season. Chelsea has already lost three times — as many as they did in the whole of last season — but manager Jose Mourinho remained defiant. Arsenal, which grabbed its first home win and goals of the season with a 2-0 victory over Stoke thanks to goals from Theo Walcott and Olivier Giroud, moved up to 10 points. Palace is third with nine, one ahead of Everton, at least until Manchester United and Liverpool meet in the late match at Old Trafford. Norwich City beat Bournemouth 3-1 and Watford ended its four-match run without a goal when it beat Swansea City 1-0 thanks to Odio Ighalo's second-half strike which secured their first win of the season. Its victory was tarnished, however, when Valon Behrami was sent after appearing to stamp on Andre Ayew. West Bromwich Albion and Southampton drew 0-0. Bayern beats Augsburg Thomas Mueller scored a last-minute penalty for Bayern Munich to beat Augsburg 2-1 and Borussia Dortmund maintained its perfect Bundesliga start by defeating Hannover 4-2 Saturday. Hannover defender Felipe scored an own goal and gave away two penalties. Alexander Esswein stunned Bayern when he struck for Augsburg two minutes before the break, but Robert Lewandowski equalized in the 77th and Mueller made no mistake from the spot after Markus Feulner was adjudged to have fouled Douglas Costa. Pierre-Emerick Aubameyang scored both penalties for Dortmund, with Henrikh Mkhitaryan adding a fine strike and Felipe doing the rest. Promoted Darmstadt upset Bayer Leverkusen 1-0 away for its first win, Hertha Berlin defeated Stuttgart 2-1, while car manufacturer-backed clubs Ingolstadt and Wolfsburg could draw only 0-0. — Agencies