Borussia Dortmund's alarming Bundesliga form continued with a 1-0 loss at home to previously winless Hamburger SV, while leader Bayern Munich enjoyed a 4-0 rout of Hannover on Saturday.

Pierre-Michel Lasogga's 35th-minute goal was enough for Hamburg to claim its first win at the seventh attempt and climb off the bottom of the table.

"Finally, the team was rewarded for its performance," Hamburg coach Josef Zinnbauer said after his fourth game in charge.

Nicolai Mueller intercepted Adrian Ramos' attempted pass, eluded Sokratis and opted to stay on his feet as Erik Durm tugged his shirt in the penalty area, before squaring the ball for the unmarked Lasogga to claim his first goal of the season and just Hamburg's second.

Dortmund fans whistled their side at halftime.

Despite slight improvement in the second - Pierre-Emerick Aubameyang and Ciro Immobile had chances - Dortmund had goalkeeper Roman Weidenfeller to thank for saving Heiko Westermann's header, and Lewis Holtby missed an open net from a tricky angle.

It was Dortmund's third defeat in four league games without a victory.

"For all our goals and aspirations, it is currently much too little," said Dortmund coach Juergen Klopp, whose side is two points off the relegation zone. "I accept responsibility. I'm responsible for the lineup and setup of the guys."

Former Dortmund striker Robert Lewandowski and Dutch winger Arjen Robben both scored twice as Bayern stayed four points clear of unbeaten Hoffenheim, which defeated Schalke 2-1.

Karim Bellarabi rescued a 2-2 draw for Bayer Leverkusen against Paderborn, and Werder Bremen drew 1-1 with Freiburg as both missed out on their first win.

Eintracht Frankfurt captain Alexander Meier scored twice as his side came from behind to beat promoted Cologne 3-2 in the late game.

Haris Seferovic set up Meier both times, but Cologne levelled nine minutes later. Frankfurt's winner came from a corner in the 79th, when Cologne goalkeeper Timo Horn inadvertently knocked the ball over his own line after a defection.

"We knew we were getting close. Thankfully, it worked out," said Meier, whose side climbed to provisional fifth.

Lewandowski got Bayern off the mark in the sixth minute, controlling Rafinha's long ball on his chest before dispatching it with his next touch past Ron-Robert Zieler.

Robben capitalized on a mistake from Felipe to make it 2-0 seven minutes later, and Hannover held out until Lewandowski claimed his second in the 38th.

The Poland striker again displayed wonderful technique to control Juan Bernat's long pass, take the ball on and then shoot inside the near post.

"Everything went to plan," Lewandowski said.

Robben claimed his second with 11 minutes to play, when he cut inside a number of defenders before unleashing inside the right post.

Bayern has gone seven games without conceding across all competitions.

"We're getting a little better in each game. We're playing more and running less. That's why I'm happy," Bayern coach Pep Guardiola said.

Bellarabi, who was called up for Germany's upcoming Euro 2016 qualifiers, scored in the 90th minute for Leverkusen, three minutes after Moritz Stoppelkamp thought he'd scored the winner for Paderborn, down to 10 men after Marvin Bakalorz's red card for a bad tackle in the 72nd.

A mistake from Leverkusen 'keeper Bernd Leno - he missed the ball after emerging from goal - allowed Suleyman Koc to open the scoring in the 20th.

Stefan Kiessling hit the post and Lars Bender deservedly equalized in the 42nd, stabbing home the rebound after Lukas Kruse spilled Karim Bellarabi's effort.

Kruse earned a point for Paderborn with a host of saves in injury time.

"It wasn't always smart or intelligent how we played. But in the end we have to be positive about the result," Leverkusen coach Roger Schmidt said.

Hoffenheim is enjoying its best start to a Bundesliga season.

Roberto Firmino set up Tarik Elyounoussi to open the scoring in the 13th, and Adam Szalai scored against his former club in the 29th.

Schalke defender Joel Matip was sent off in the 75th for his second yellow card, and Klaas Jan Huntelaar scored his side's consolation in the 83rd.

"Schalke couldn't have complained if we'd got the third goal," Hoffenheim coach Markus Gisdol said.