摘要

Let Omega subset of R-3 be a bounded domain with a smooth boundary partial derivative Omega. In the present paper, we consider the nonlinear magnetic Schrodinger equation of the form
{ -(del - iA)(2)u + au = vertical bar u vertical bar(2) u in Omega, u = 0 on partial derivative Omega
where a >= 0, i is a imaginary unit and A : R-3 -> R-3 is a magnetic potential. We will show the existence of infinitely many symmetry breaking solutions.

  • 出版日期2017