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

页码：251 / 264

页数：14

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