Triviality of bounded solutions of the stationary Ginzburg–Landau equation on spherically symmetric manifolds
- Authors: Vikharev S.S.1, Losev A.G.1
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Affiliations:
- Volgograd State University
- Issue: Vol 101, No 1-2 (2017)
- Pages: 208-218
- Section: Volume 101, Number 2, February, 2017
- URL: https://journals.rcsi.science/0001-4346/article/view/149980
- DOI: https://doi.org/10.1134/S0001434617010254
- ID: 149980
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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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