## 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

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- by Fatiha Alabau PDF
- Trans. Amer. Math. Soc.
**350**(1998), 4709-4756 Request permission

## Abstract:

We give a constructive method for giving examples of doping functions and geometry of the device for which the nonelectroneutral voltage driven equations have multiple solutions. We show in particular, by performing a singular perturbation analysis of the current driven equations that if the electroneutral voltage driven equations have multiple solutions then the nonelectroneutral voltage driven equations have multiple solutions for sufficiently small normed Debye length. We then give a constructive method for giving examples of data for which the electroneutral voltage driven equations have multiple solutions.## References

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## Additional Information

**Fatiha Alabau**- Affiliation: I.R.M.A., Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg Cedex (France)
- Email: alabau@math.u-strasbg.fr
- Received by editor(s): November 30, 1995
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**350**(1998), 4709-4756 - MSC (1991): Primary 35G30, 35J25, 35B50
- DOI: https://doi.org/10.1090/S0002-9947-98-02334-4
- MathSciNet review: 1616008