Fixed point theorems for solutions of the stationary Schrödinger equation on cones

Fixexd point theory and applications

Eve Yuzbasi¹  Gaixian Xue² 

[1] Department of Mathematics, Istanbul University, Istanbul, Turkey;School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, P.R. China

关键词: stationary Schrödinger equation;    Poisson-Sch integral;    cone;   

DOI  :  10.1186/s13663-015-0275-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The main aim of this paper is to study and establish some new coincidence point and common fixed point theorems for solutions of the stationary Schrödinger equation on cones. An interesting application is to investigate the existence and uniqueness for solutions of the Dirichlet problem with respect to the Schrödinger operator on cones and the growth property of them.

【 授权许可】

CC BY