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


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Abstract

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.

About the authors

S. S. Vikharev

Volgograd State University

Author for correspondence.
Email: vhr1987@mail.ru
Russian Federation, Volgograd

A. G. Losev

Volgograd State University

Email: vhr1987@mail.ru
Russian Federation, Volgograd

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