A Solid Surfaces Installer will epoxy a 1/2” piece of wood where your dishwasher needs to attach to the counter. You will then be able to use 3/8” screws to mount the dishwasher. This keeps the dishwasher from tipping forward.
Many newer model dishwashers have side mount capability which eliminates the need for a piece of wood (as described above) and leaves you with a clean look.