Match ends, Chelsea 1, Liverpool 3.
Liverpool piled the pressure on Chelsea manager Jose Mourinho as Jurgen Klopp secured a hugely impressive first Premier League win since taking charge at Anfield.
Mourinho was recently given the backing of Chelsea's hierarchy after their poor start to the season - but whether their faith remains after this desperate defeat remains to be seen.
Chelsea made the perfect start when Ramires headed them into the lead after only three minutes but Liverpool's confidence was not dented and Philippe Coutinho equalised spectacularly in first-half stoppage time.
Coutinho put Liverpool ahead with a shot that deflected off John Terry with 16 minutes left before substitute Christian Benteke wrapped up a victory Klopp's side thoroughly deserved.
Is this the end for Mourinho?
Mourinho has made it clear he will not resign - while Chelsea's board delivered very public backing to their manager in early October.
Since then, however, Chelsea have barely improved and this comprehensive defeat comes on top of the acrimonious loss at West Ham United last weekend and the Capital One Cup exit against Stoke City on penalties in midweek.
And Mourinho, normally so confident and upbeat, carried the air of a beaten man as he stood hands in pockets on the touchline in the closing seconds with defeat assured and Stamford Bridge emptying rapidly.
Mourinho appeared distracted by opposite number Jurgen Klopp's constant, animated dialogue with fourth official Lee Mason, seeming to question what would happen if he acted in a similar fashion.
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As ever, all things rest with owner Roman Abramovich at Chelsea, and while Chelsea's supporters rallied to their manager's cause as his name echoed around Stamford Bridge, this was another lame and uninspired performance from a team delivering relegation form rather than looking up the table.
Now we must wait to see if this loss spells the end of Mourinho's second coming at Chelsea.
Klopp's Liverpool get the message
This was Jurgen Klopp's first Premier League win as Liverpool manager - and the most compelling evidence so far that the manager who arrived in a blaze of near-hysteria following his sabbatical after leaving Borussia Dortmund is getting his message across.
Liverpool were undaunted by falling behind early on, kept pressing in the style their manager demands and in the end simply outran and outfought Chelsea.
Klopp, as ever, was an animated figure on the touchline, not just encouraging his players but also delivering the most fearful verbal volleys in the direction of Nathaniel Clyne and James Milner, in particular, when they did not do as he demanded.
When he arrived, Klopp announced that he wanted to turn "doubters into believers" at Liverpool - this result will have gone a long way towards achieving that aim.
Chelsea's big players go missing
Chelsea's title challenge last season was built on the goals of Diego Costa, the midfield inspiration of Cesc Fabregas and the creative brilliance of Eden Hazard.
All three have been conspicuous by their absence this season - and so it was here as Liverpool ensured Chelsea were strictly second best.
Fabregas was only given a role as substitute, Costa was out of sorts and often unable to even bring the ball under control while Hazard was subdued and removed before the hour.
Man of the match - Philippe Coutinho (Liverpool)
He has been a shadow of his usual self this season but his flash of brilliance on half-time changed the game and added a second goal for good measure.
Lost for words? Manager reaction
Chelsea manager Jose Mourinho tells BBC Sport:
"I can't express my feelings in any way at all. You are not just here to interview me. You are also here to see the game. What I see from my players was good until the moment they felt it was impossible to do better.
"The fans are not stupid, I don't need to tell them anything. They know how much myself and the players are trying.
"They know why they are getting bad results. The fight goes on, but sometimes there are fights very impossible to win. You go to a fight with different ammunition. I can play against any team or manager."
Liverpool manager Jurgen Klopp on Mourinho:
"I feel for him. He's a great coach. I don't think anyone in this room doubts he's one of the best in the world.
"Things like this happen. I had a similar situation at Dortmund last year. The good thing was no one in the club was in doubt of my situation. I feel for him of course, but it's work."
The stats you need to know
- Jose Mourinho has lost six Premier League matches this season. He's never lost more in a Premier League campaign at Chelsea.
- Chelsea lost their first game against Liverpool in seven Premier League meetings.
- This is the first time Liverpool have netted more than twice at Stamford Bridge in a league game since December 1989.
- Philippe Coutinho ended a run of 710 minutes without a Premier League goal.
- This is the first Premier League game since Middlesbrough beat Manchester City 8-1 in 2008 in which a Brazilian has scored for both sides.
- James Milner, 29, made his 400th Premier League appearance, becoming the third youngest player to reach the milestone after Wayne Rooney and Gareth Barry.
What's up next?
Both sides head into European competition this week.
Chelsea are at home to Dynamo Kiev in the Champions League on Wednesday in a game they can't afford to lose if they are to advance from Group G.
The following night Liverpool go to Rubin Kazan in the Europa League, looking for their first win after three draws in Group B.
- 28AzpilicuetaSubstituted forFalcaoat 76'minutes
- 7Santos do Nascimento
- 12MikelBooked at 66minsSubstituted forFàbregasat 70'minutes
- 10E HazardSubstituted forKenedyat 59'minutes
- 19Diego Costa
- 7MilnerSubstituted forBentekeat 64'minutesBooked at 86mins
- 21LeivaBooked at 58mins
- 23CanBooked at 65mins
- 20LallanaSubstituted forLovrenat 90+1'minutes
- 10CoutinhoBooked at 24mins
- 11FirminoSubstituted forIbeat 76'minutes
- 53Vilaca Teixeira
- Mark Clattenburg
- Shots on Target
Second Half ends, Chelsea 1, Liverpool 3.
Attempt blocked. Oscar (Chelsea) right footed shot from outside the box is blocked.
Corner, Liverpool. Conceded by Gary Cahill.
Attempt blocked. Philippe Coutinho (Liverpool) right footed shot from the left side of the box is blocked. Assisted by Christian Benteke.
Substitution, Liverpool. Dejan Lovren replaces Adam Lallana.
Nathaniel Clyne (Liverpool) wins a free kick in the defensive half.
Foul by Diego Costa (Chelsea).
Attempt missed. Falcao (Chelsea) header from the centre of the box is close, but misses to the right.
Attempt blocked. Oscar (Chelsea) right footed shot from outside the box is blocked. Assisted by Ramires.
Christian Benteke (Liverpool) is shown the yellow card for a bad foul.
Foul by Christian Benteke (Liverpool).
Ramires (Chelsea) wins a free kick in the defensive half.
Goal! Chelsea 1, Liverpool 3. Christian Benteke (Liverpool) right footed shot from the centre of the box to the bottom left corner. Assisted by Jordon Ibe.
Foul by Emre Can (Liverpool).
Willian (Chelsea) wins a free kick on the right wing.
Corner, Liverpool. Conceded by John Terry.
Attempt blocked. Jordon Ibe (Liverpool) left footed shot from the right side of the box is blocked. Assisted by Lucas Leiva.
Attempt blocked. Kenedy (Chelsea) left footed shot from the left side of the box is blocked. Assisted by Cesc Fàbregas with a cross.
Corner, Liverpool. Conceded by Asmir Begovic.