Semi-linear elliptic inequalities on weighted graphs

06.07.2022, 13:30  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Xueping Huang (Nanjing University)

Abstract: We consider the discrete analogue of  semi-linear differential inequalities on weighted graphs. Under some technical conditions, we obtain almost sharp volume growth criteria for the non-existence of positive solutions. Two effective approaches to this problem will be discussed: one via test functions and another via potential theory. 

This talk is based on joint work with Qingsong Gu and Yuhua Sun.