A note on a 3-dimensional stationary Schrodinger-Poisson system
Southwest Texas State University, Department of Mathematics
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.
Schrodinger equation, Poisson equation, Standing wave, Variational methods
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.