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1
Melt butter in skillet over medium-high heat.
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2
Add onions to hot pan and begin caramelizing, stirring occasionally.
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3
After 4 minutes or so, add apples to the onions and continue to cook until onions are golden brown, about 6 more minutes.
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4
Remove from heat when done.
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5
While onions and apples are cooking, blend together in a large bowl the ground beef, salt, pepper, thyme, Dijon, egg, and bread crumbs.
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6
Be sure ingredients are well incorporated, but don't over work.
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7
Form mixture into 4 good-sized patties.
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8
(hint: If you create a concave burger, with the center thinner than the edges, when it cooks the burger won't swell up to look like a meatball, but will remain flat and patty-like)
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9
Heat grill to medium-high heat.
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10
Place burgers on grill and cook about 10 minutes per side, or until cooked through.
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11
As burgers are finishing (after the first flip), spread mayonnaise on both cut sides of each split roll.
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12
Place rolls on grill, mayonnaise side down, to toast for about 1 minute, or until golden.
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13
Place each burger on the bottom half of a toasted roll.
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14
Top with about 1/4 cup of blue cheese, then with a generous scoop of the caramelized onion and apple mixture.
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15
Cover with the roll and serve.
