Note on a Schrödinger–Poisson system in a bounded domain
✍ Scribed by Lorenzo Pisani; Gaetano Siciliano
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 230 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
This work is concerned with a nonlinear system of Schrödinger-Poisson equations in a bounded domain with Dirichlet boundary conditions. We prove the existence of infinitely many solutions u(x)e -iωt , for every value of ω, in equilibrium with the electrostatic field φ(x).
📜 SIMILAR VOLUMES
Let S := &2Â2+V be the Schro dinger's operator defined on C 0 (D) where D is a (open) domain in R d . By means of the asymptotic behavior of V near the boundary D, we give the necessary and sufficient conditions to the essential Markovian selfadjointness of S for the nonnegative potential V, and to
In this paper we study the existence of standing waves for one-dimensional wave-Schrödinger system. We use the Nehari method which is developed by Liu, Wang, and Wang [Z. Liu, Y. Wang, and Z.-Q. Wang, Solution for quasilinear Schrödinger equations via the Nehari Method, Comm. Partial Differential Eq