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


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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.

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S. Vikharev

Volgograd State University

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Email: vhr1987@mail.ru
俄罗斯联邦, Volgograd

A. Losev

Volgograd State University

Email: vhr1987@mail.ru
俄罗斯联邦, Volgograd

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