ON THE EXISTENCE OF MULTIPLE STEADY-STATE SOLUTIONS IN THE THEORY OF ELECTRODIFFUSION - PART I - THE NONELECTRONEUTRAL CASE - PART II - A CONSTRUCTIVE METHOD FOR THE ELECTRONEUTRAL CASE

We give a constructive method for giving examples of doping functions and geometry of the device for which the nonelectroneutral voltage dri ven equations have multiple solutions. We show in particular, by perfo rming a singular perturbation analysis of the current driven equations that if the electroneutral voltage driven equations have multiple sol utions then the non electroneutral voltage driven equations have multi ple solutions for sufficiently small normed Debye length. We then give a constructive method for giving examples of data for which the elect roneutral voltage driven equations have multiple solutions.