Rear brake lights keep blowing out. on 2002 Pontiac Montana

The center brake light works fine. The problem is with the two rear brake lights. They constantly burn out. Every time I replace the bulbs, they work for a short while, but very soon they stop lighting. When I check the bulbs the plastic base with the thin wiring are all melted and have a burning smell. What can I do?
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Asked by for the 2002 Pontiac Montana
sounds like ground issues in the sockets. replace the sockets and bulbs together and verify the ground

2 more answers
Sounds like the sockets are bad. Old burnt out bulbs can cause this.
Purchase oem rear light sockets that hold the bulbs. they cost about $50 each from the dealer.