Neumann condition in the Schrodinger-Maxwell system

被引：0
|
作者：
Pisani, Lorenzo [1 ]
Siciliano, Gaetano [1 ]
机构：
[1] Univ Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2007年 / 29卷 / 02期
关键词：
Schrodinger equation; stationary solutions; electrostatic field; variational methods; eigenvalue problem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a system of (nonlinear) Schrodinger and Maxwell equation in a bounded domain, with a Dirichelet boundary condition for the wave function psi and a nonhomogeneous Neumann datum for the electric potential phi. Under a suitable compatibility condition, we establish the existence of infinitely many static solutions psi = u(x) in equilibrium with a purely electrostatic field E = -del phi. Due to the Neumann condition, the same electric field is in equilibrium with stationary solutions psi = e(-iwt)u(x) of arbitrary frequency omega.
引用
收藏
页码：251 / 264
页数：14
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