The positive solutions to quasilinear elliptic inequalities on model Riemannian manifolds

• Published in: Russian mathematics Vol. 59; no. 9; pp. 18 - 25
• Main Author: Mazepa, E. A.
• Format: Journal Article
• Language: English
• Published: New York Allerton Press 01.09.2015
• Subjects: Mathematics; Mathematics and Statistics; entire positive solutions; conditions of existence; Liouville type theorems; quasilinear elliptic inequalities; model Riemannian manifolds

We investigate the problem of implementation of the Liouville type theorems on the existence of positive solutions of some quasilinear elliptic inequalities on model (spherically symmetric) Riemannian manifolds. In particular, we find exact conditions for the existence and nonexistence of entire pos...