FLC OF ACR WDB ACFT EXPERIENCED AN ENG FAILURE AFTER LIFTOFF AND RETURNED TO LAND OVERWT RESULTING IN A BRAKE FIRE AFTER LNDG ROLL OUT.

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AFTER TKOF FROM FRA ON RWY 18 AND GEAR RETRACTION WE HAD SEVERAL VERY LOUD COMPRESSOR STALLS. I SAW THE EPR ON L ENG FLUCTUATE AND CALLED 'WE ARE LOSING THE L ENG'. PWR WAS REDUCED AND THE ENG STABILIZED. ALL INDICATIONS WERE NORMAL AFTER THAT. I DECLARED AN EMER AND REQUESTED VECTORS TO RETURN FOR LNDG. WE ELECTED NOT TO DUMP FUEL AND TO MAKE ON OVERWT LNDG TO EXPEDITE OUR GETTING BACK ON THE GND. OUR LNDG WT WAS 364000 LBS. THE COPLT WAS FLYING AND MADE A SMOOTH; NORMAL LNDG. AFTER CLRING THE RWY AND TAXIING SOME DISTANCE TO OUR GATE; WE TERMINATED THE EMER. APCHING OUR GATE AREA; WE NOTICED INCREASING TEMP INDICATION AND NOTIFIED OUR GND PEOPLE TO USE CAUTION AS WE HAD HOT BRAKES. LEVELS 3 TO 4 INDICATED AT THIS TIME. AS WE TURNED INTO OUR PARKING SPOT; A FLT WAITING TO TAXI RPTED THAT WE HAD A BRAKE FIRE ON THE R SIDE. AN EMER WAS DECLARED AND ASSISTANCE CALLED FOR. THE EMER EQUIPMENT WAS STILL OUT AND ARRIVED QUICKLY TO OUR LOC. OUR GND SVC PEOPLE ADVISED US NOT TO EVAC PAXS; THE FIRE WAS OUT AND SIT WAS UNDER CTL. I HAD ADVISED OUR FAIC TO DEPLANE THE PEOPLE OUT THE MAIN ENTRANCE DOOR; lL. PAX SVC REQUESTED WE HOLD OFF UNTIL BUSES WERE AVAILABLE. WE HELD THE PAXS ON BOARD. THE FAIC WAS INFORMED OF OUR PROB AND WAS KEPT INFORMED BY OUR RELIEF PLT FROM THE VERY BEGINNING. WE HAD VERY GOOD COMS BTWN THE COCKPIT AND CABIN DURING THE ENTIRE SIT. PA ANNOUNCEMENTS WERE MADE TO THE PAXS TO KEEP THEM INFORMED THAT A NORMAL LNDG WAS BEING MADE AND THAT THE FIRE RESCUE WAS STANDING BY AS A PRECAUTION. I ALLOWED THE COPLT TO CONTINUE TO FLY AFTER THE COMPRESSOR STALL. HE DID A VERY NICE JOB SO I SAW NO REASON TO TAKE THE CTLS ON LNDG. THERE WERE NO INJURIES TO PAXS OR CREW.