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Matematicheskie Zametki, 2017, Volume 101, Issue 2, Pages 186–198
DOI: https://doi.org/10.4213/mzm10614 (Mi mzm10614) 		 
Triviality of Bounded Solutions of the Stationary Ginzburg–Landau Equation on Spherically Symmetric Manifolds

S. S. Vikharev, A. G. Losev

Volgograd State University
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DOI: https://doi.org/10.4213/mzm10614
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.
Keywords: Liouville's theorem, noncompact Riemannian manifold, stationary Ginzburg–Landau equation.
Funding agency Grant number
Russian Foundation for Basic Research 15-41-02479-р_поволжье_а
This work was supported by the Russian Foundation for Basic Research under grant no. 15-41-02479-r_Povolzh'e_a.
Received: 30.06.2014
Revised: 01.11.2015
English version:
Mathematical Notes, 2017, Volume 101, Issue 2, Pages 208–218
DOI: https://doi.org/10.1134/S0001434617010254
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. S. Vikharev, A. G. Losev, “Triviality of Bounded Solutions of the Stationary Ginzburg–Landau Equation on Spherically Symmetric Manifolds”, Mat. Zametki, 101:2 (2017), 186–198; Math. Notes, 101:2 (2017), 208–218
Citation in format AMSBIB
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