Yazar "Buhrii, O. M." seçeneğine göre listele

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    Öğe
    Existence of solutions for p(x)-Laplacian equations
    (Univ Szeged, Bolyai Institute, 2010) Mashiyev, R. A.; Cekic, B.; Buhrii, O. M.
    We discuss the problem {-div (vertical bar Delta(u)vertical bar(p(x)-2)del(u))=lambda(a(x)vertical bar u vertical bar(q(x)-2) u + b(x)vertical bar u vertical bar(h(x)-2)u), for x is an element of Omega, u=0, for x is an element of partial derivative Omega. where Omega is a bounded domain with smooth boundary in R-N (N >= 2) and p is Lipschitz continuous, q and h are continuous functions on (Omega) over bar such that 1 < q(x) < p(x) < h(x) < p*(x) and p(x) < N. We show the existence of at least one nontrivial weak solution. Our approach relies on the variable exponent theory of Lebesgue and Sobolev spaces combined with adequate variational methods and the Mountain Pass Theorem.
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    Öğe
    Existence of solutions of the parabolic variational inequality with variable exponent of nonlinearity
    (Academic Press Inc Elsevier Science, 2011) Mashiyev, R. A.; Buhrii, O. M.
    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. (C) 2010 Elsevier Inc. All rights reserved.
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    Öğe
    Uniqueness of solutions of the parabolic variational inequality with variable exponent of nonlinearity
    (Pergamon-Elsevier Science Ltd, 2009) Buhrii, O. M.; Mashiyev, R. A.
    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. (C) 2008 Elsevier Ltd. All rights reserved.