  We study multiplicity of the supercritical traveling front solutions for
scalar reaction-diffusion equations in infinite cylinders which invade a
linearly unstable equilibrium. These equations are known to possess traveling
wave solutions connecting an unstable equilibrium to the closest stable
equilibrium for all speeds exceeding a critical value. We show that these are,
in fact, the only traveling front solutions in the considered problems for
sufficiently large speeds. In addition, we show that other traveling fronts
connecting to the unstable equilibrium may exist in a certain range of the wave
speed. These results are obtained with the help of a variational
characterization of such solutions.
