when press brake rear light on passanger side goes off

With the lights on (the front and back street lights), when you push the brakes the rear passenger side stop light goes off instead brightness. And the signal lights stop working after one mile. When I start the engine the signal lights works, but in the 10 minutes stop working.

THREE TIMES I'VE HAD PROBLEMS WITH THE REAR LIGHTS, BECAUSE WHEN YOU'RE STOPPING ONE SIDE OF THE LIGHTS DON'T WORK AND SOMETIMES BOTH DON'T WORK. THE POLICE STOPPED ME BECAUSE OF THIS PROBLEM. WHEN I CHECKED THE REAR LIGHTS I FOUND BOTH LIGHT SOCKETS BURNT. I HAD TO REPLACE THE LIGHT ASSAY. I NOTED IN SEVERAL GRAND CHEROKEES THE SAME PROBLEM, YOU NEED TO PAY ATTENTION TO THIS PROBLEM AND FIND SOME SOLUTIONS. THIS PROBLEM IS IN SEVERAL GRAND CHEROKEES.