I'm looking for a special profile with a combination of two forms.
So that I can best manage the rounding/bevel of the junction of these two forms.
Is it possible and how can I get this result (see attached image)
I don't know whether you're using subdivision - so these approaches may not be your way.... (all the operations are under a subdivision modifier, level 1 or 2)
But as you can see, that results in sharp turn, not very like the profile you illustrate, and there's not much room to move edge loops around.
So the bottom row in my illustration doesn't use beveling at all, and just tweaks the heights and scales of the horizontal edge loops on the dome.
Edit mode>edge ..Alt select an edge loop
SShiftZ to scale it in XY
GG to slide the loop up and down without significantly altering the profile
GZ to move it up and down and alter the profile
If the subdivision modifier's' "Display modifier in Edit mode" box is checked, you can visually adjust the modifier's result to your profile. But be aware, if the subdivision level is changed, the profile may fatten or shrink.