Heat oil in large nonstick skillet over medium-high heat; add pork strips to pan and brown nicely, stir-frying, remove from heat. While pork cooks, spread mayonnaise on bottom half of rolls; spread pesto on top half of rolls. Broil briefly just to lightly brown. Divide pork strips onto four roll halves, top with pepper pieces and a slice of cheese. Broil just until cheese is bubbly. Top with remaining half of rolls.
*12 ounces of thinly sliced leftover cooked pork roast can be substituted for uncooked pork. If using leftover roast, delete olive oil in recipe.