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

Pinhong Long, Guantie Deng
2012 Journal of Inequalities and Applications  
For a subfunction u associated with the stationary Schrödinger 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 Phragmén-Lindelöf 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 Schrödinger operator in a cone and about the type
more » ... and about the type of their uniqueness. MSC: Primary 31B05
doi:10.1186/1029-242x-2012-295 fatcat:cr7s2llbabarvkszu7shulqfq4