Methods of forming transistors with retrograde wells in CMOS applications and the resulting device structures

One illustrative method disclosed herein includes performing a first plurality of epitaxial deposition processes to form a first plurality of semiconductor materials selectively above the N-active region while masking the P-active region, performing a second plurality of epitaxial deposition processes to form a second plurality of semiconductor materials selectively above the P-active region while masking the N-active region, forming an N-type transistor in and above the N-active region and forming a P-type transistor in and above the P-active region.