An application of the inequality for modified Poisson kernel

Abstract As an application of an inequality for modified Poisson kernel obtained by Qiao and Deng (Bull. Malays. Math. Sci. Soc. (2) 36(2):511-523, 2013), we give the generalized solution of the Dirichlet problem with arbitrary growth data

On the Tumura-Clunie Theorem and Its Application

We cast aside the restriction of the simple pole in the Tumura-Clunie type theorems for meromorphic functions and obtain a better result which improves the earlier results of Y. D. Ren. Furthermore, as an application, we improve a theorem given by B. Y. Su

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

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 Schrodinger equation on cones. An interesting application is to investigate the existence and uniqueness for solutions of the Dirichlet problem with respect to the Schrodinger operator on cones and the growth property of them