Triviality of bounded solutions of the stationary Ginzburg–Landau equation on spherically symmetric manifolds

Аннотация

In this paper, we obtain conditions for the validity of Liouville-type theorems on the triviality of bounded solutions of an elliptic inequality of special form as well as of the stationary Ginzburg–Landau equation for noncompact spherically symmetric Riemannian manifolds.