Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
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.