Normal families of solutions for modified equilibrium equations and their applications

作者：Tan, Yili; Ding, Weiyong; Wang, Yourong; Jiang, Zongjing^*

来源：Boundary Value Problems, 2017, 2017(1): 176.

DOI：10.1186/s13661-017-0906-6

• normal family
• modified equilibrium equation
• modified Laplace equation

Using boundary behaviors of solutions for certain Laplace equation proved by Yan and Ychussie (Adv. Difference Equ. 2015: 226, 2015) and applying a new method to dispose of the impulsive term with finite mass subject presented by Shi and Liao (J. Inequal. Appl. 2015: 363, 2015) from another point of view, we prove that there exists a supra-open in (X, tau) for each V is an element of sigma in which the modified equilibrium equation has normal families of solutions. Moreover, we establish a new expression of a harmonic multifunction for the above equation. As applications, we not only prove the existence of normal families of solutions for modified equilibrium equations but also obtain several characterizations and fundamental properties of these new classes of superharmonic multifunctions.

• 出版日期2017-11-21
• 单位唐山学院; 中国科学技术大学