A piezoelectric microelectromechanical structure is provided with a piezoelectric stack having a main extension in a horizontal plane and a variable section in a plane transverse to the horizontal plane. The stack is formed by a bottom-electrode region, a piezoelectric material region arranged on the bottom-electrode region, and a top-electrode region arranged on the piezoelectric material region. The piezoelectric material region has, as a result of the variable section, a first thickness along a vertical axis transverse to the horizontal plane at a first area, and a second thickness along the same vertical axis at a second area. The second thickness is smaller than the first thickness. The structure at the first and second areas can form piezoelectric detector and a piezoelectric actuator, respectively.