Combine pork, garlic and gochujang. Form into 6 patties. Refrigerate an hour or until ready to cook.
Make salad: Place cabbage in a colander set over a bowl. Toss with salt and allow to rest for about 15 minutes. Rinse cabbage well and place into a large bowl. Add gochujang, sesame oil, sugar, lime juice, and scallions and toss well. Refrigerate 1 hour or until ready to serve.
Make mayo: Combine mayo, scallions, sesame oil, and sesame seeds in a small bowl. Stir until thoroughly combined. Refrigerate until ready to use.
Cook burgers: Pan fry or grill about 4 minutes per side until cooked through.
To assemble: On bottom half of hamburger bun, place a tablespoon or so of cabbage salad. Top with burger, then top with a tablespoon of mayo, and top half of bun.