Some properties for a subfunction associated with the stationary Schrodinger operator in a cone

作者：Long, Pinhong; Deng, Guantie^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, 295.

DOI：10.1186/1029-242X-2012-295

• stationary Schrodinger operator
• Poisson a-integral
• subfunction
• cone

For a subfunction u associated with the stationary Schrodinger operator, which is dominated on the boundary by a certain function on a cone, we correct Theorem 1 in (Qiao and Deng in Glasg. Math. J. 53(3): 599-610, 2011). Then by the theorem we generalize some theorems of Phragmen-Lindelof type for a subfunction in a cone. Meanwhile, we obtain some results about the existence of solutions of the Dirichlet problem associated with the stationary Schrodinger operator in a cone and about the type of their uniqueness. MSC: Primary 31B05

• 单位
  北京师范大学