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Existence of solutions of the parabolic variational inequality with variable exponent of nonlinearity |
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| Authors: | R.A. Mashiyev O.M. Buhrii |
| Affiliation: | a Dicle University, Faculty of Science, Department of Mathematics, 21280-Diyarbakir, Turkey b Department of Differential Equations, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000-Lviv, Ukraine |
| Abstract: | In this article, new properties of variable exponent Lebesgue and Sobolev spaces are examined. Using these properties we prove the existence of the solution of some parabolic variational inequality. |
| Keywords: | Variable exponent Lebesgue and Sobolev spaces Nonlinear parabolic variational inequality |
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