A semiconductor device includes a power transistor in a semiconductor substrate portion, where the semiconductor substrate portion includes a central portion and a kerf, components of the power transistor are arranged in the central portion, and the central portion has a thickness d. The semiconductor device also includes a support element disposed over a main surface of the central portion, where the support element has a smallest lateral extension t at a side adjacent to the main surface of the semiconductor substrate portion and a height h, where 0.1×h≤d≤4×h and 0.1×h≤t≤1.5×h.