A note on a 3-dimensional stationary Schrodinger-Poisson system
Date
2004-02-24
Authors
Benmlih, Khalid
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In a previous paper we have proved existence of a ground state for a stationary Schrödinger-Poisson system in the whole space ℝ3 under appropriate assumptions on the data, namely the dopant-density n* and the effective potential Ṽ. In this note we show that the same result remains true under less restrictive hypotheses.
Description
Keywords
Schrodinger equation, Poisson equation, Standing wave, Variational methods
Citation
Benmlih, K. (2004). A note on a 3-dimensional stationary Schrödinger-Poisson system. <i>Electronic Journal of Differential Equations, 2004</i>(26), pp. 1-5.