Uniqueness of solutions of the parabolic variational inequality with variable exponent of nonlinearity

In this article, new properties of variable exponent Lebesque and Sobolev spaces were examined. Using these properties we prove that the solution of some parabolic variational inequality is unique with the given conditions.

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Veröffentlicht in:	Nonlinear analysis 2009-03, Vol.70 (6), p.2325-2331
Hauptverfasser:	Buhrii, O.M., Mashiyev, R.A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Exact sciences and technology Functional analysis Global analysis, analysis on manifolds Mathematical analysis Mathematics Nonlinear parabolic variational inequality Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Variable exponent Lebesque and Sobolev spaces
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Beschreibung
Zusammenfassung:	In this article, new properties of variable exponent Lebesque and Sobolev spaces were examined. Using these properties we prove that the solution of some parabolic variational inequality is unique with the given conditions.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2008.03.013