In a large bowl, combine soy sauce, gochujang paste, ginger, brown sugar, rice wine, garlic, black pepper, grated apple, and sesame oil.
Add the ribeye steak and coat thoroughly in the marinade.
Cover and refrigerate for at least 1 hour, preferably 4 to 8 hours.
In a small bowl, stir together mayonnaise, garlic, and sweet chili sauce. Refrigerate until needed.
Heat oil in a large skillet over medium-high heat.
Add the red and yellow bell peppers and sauté for 3 to 4 minutes until slightly softened. Remove and set aside.
Remove the steak from the marinade and cook in the hot skillet for 2 to 4 minutes per side, depending on thickness and preferred doneness.
Transfer the steak to a cutting board and allow it to rest for 5 minutes.
Slice the steak thinly against the grain.
Brush both sides of the bread with melted butter.
Toast until golden brown and crisp.
Spread the prepared sauce generously over the bread.
Assemble the Korean Steak Sandwich by layering steak, sautéed peppers, cheddar cheese, red onion, jalapeños, and spring onions.
Sprinkle with sesame seeds.
Close the sandwich and serve immediately while warm.