While landing the tailwheel-equipped aircraft in light and variable winds, the pilot lost directional control when a crosswind lifted up one of the wings during the landing roll. While he was trying to regain directional control, the aircraft departed the side of the runway, rolled off the abrupt edge of the runway shoulder, and flipped over onto its back. The pilot said that there were no problems with the brakes, tailwheel steering, or the flight controls, but that he needed to have better "control on landing" and better "crosswind corrections."