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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2015 Volume 15, Issue 2, Pages 127–135 (Mi isu573)

This article is cited in 2 papers

Mathematics

Some Liouville-type theorems for the stationary Ginsburg–Landau equation on quasi-model Riemannian manifolds

S. S. Vikharev

Volgograd State University, 100, prospect Universitetsky, 400062, Volgograd, Russia

Abstract: In this paper we find the conditions for validity of Liouville-type theorems for bounded solutions of the stationary Ginsburg–Landau equation and quasilinear elliptic inequality $-\Delta u \geqslant u^q$, $q>1$, on quasi-model Riemannian manifolds.

Key words: Ginsburg–Landau equation, Riemannian manifolds, Liouville-type results.

UDC: 501.1

DOI: 10.18500/1816-9791-2015-15-2-127-135



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