We study a high-field version of the periodic Schro¨dinger-Poisson system, for which the Poisson equation includes nonlinear terms corresponding to a field-dependent dielectric constant. Using a Galerkin scheme, we prove global existence and uniqueness, and present the matrix equations for the numer
On Schrödinger-Poisson Systems
✍ Scribed by Antonio Ambrosetti
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2008
- Tongue
- English
- Weight
- 197 KB
- Volume
- 76
- Category
- Article
- ISSN
- 1424-9286
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We show that a high-field version of the periodic Schro dinger Poisson system including nonlinear terms in the Poisson equation (corresponding to a fielddependent dielectric constant) and effective potentials in the Schro dinger equation has an infinite number of different stationary states which co
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