A new technique to study the boundary behaviors of superharmonic multifunctions and their application
Yong Lu, Jianguo Sun · Boundary Value Problems · 2017
Using some recent results of the Riesz decomposition method for sharp estimates of certain boundary value problems of harmonic functions in (St. Cer. Mat. 27:323-328, 1975 ), the boundary behaviors of upper and lower superharmonic multifunctions are studied. Several fundamental properties of these new classes of these functions are shown. A new technique is proposed to find the exact boundary behaviors by using Levin’s type boundary behaviors for harmonic functions admitting certain lower bounds in (Pacific J. Math. 15:961-970, 1965 ). Finally, some examples are given to illustrate the applications of our results.