Existence of solitary waves in nonlocal nematic liquid crystals

Existence of solitary waves in nonlocal nematic liquid crystals

In this paper, we study the solitary waves in nonlocal nematic liquid crystals. By applying the Mountain Pass Theorem and the Krasnoselskii genus theory, we prove some existence and multiplicity results of radially symmetric solitary waves.

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Veröffentlicht in:Nonlinear analysis: real world applications 2015-04, Vol.22, p.107-114
Hauptverfasser: Zhang, Guoqing, Ding, Zhonghai
Format: Artikel
Sprache:eng
Schlagworte:
Existence theorems
Liquid crystals
Mountains
Nematic
Nonlinearity
Nonlocal nematic liquid crystals
Solitary waves
Theorems
Variational methods
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Beschreibung
Zusammenfassung:In this paper, we study the solitary waves in nonlocal nematic liquid crystals. By applying the Mountain Pass Theorem and the Krasnoselskii genus theory, we prove some existence and multiplicity results of radially symmetric solitary waves.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2014.08.006