Yazar "Ogras, S." seçeneğine göre listele

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    Öğe
    Existence of solutions for a class of elliptic systems in RN involving the (p(x), q(x))-Laplacian
    (Springer, 2008) Ogras, S.; Mashiyev, R. A.; Avci, M.; Yucedag, Z.
    In view of variational approach, we discuss a nonlinear elliptic system involving the p(x)-Laplacian. Establishing the suitable conditions on the nonlinearity, we proved the existence of nontrivial solutions. Copyright (C) 2008 S. Ogras et al.
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    Öğe
    Hardy's inequality in power-type weighted LP(•) (0, ?) spaces
    (Academic Press Inc Elsevier Science, 2007) Mashiyev, R. A.; Cekic, B.; Mamedov, F. I.; Ogras, S.
    In this article, our aim is to prove Hardy's inequality in power-type weighted L-p(.) (0, infinity) spaces by obtaining regularity condition on the exponents p(.), q(.) and alpha(.) defined at every point of the domain of test function with u(0) = 0 (or vanishing at infinity) under the log-Holder continuity conditions at the origin and infinity. (c) 2006 Elsevier Inc. All rights reserved.
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    Öğe
    Lyapunov, Opial and Beesack inequalities for one-dimensional p(t)-Laplacian equations
    (Elsevier Science Inc, 2010) Mashiyev, R. A.; Alisoy, G.; Ogras, S.
    We generalize the classical Lyapunov, Opial and Beesack inequalities for one-dimensional differential equations to nonstandard growth p(t)-Laplacian. (C) 2010 Elsevier Inc. All rights reserved.
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    Öğe
    Solutions to semilinear p-Laplacian Dirichlet problem in population dynamics
    (Shanghai Univ, 2010) Mashiyev, R. A.; Alisoy, G.; Ogras, S.
    In this article, we study a semilinear p-Laplacian Dirichlet problem arising in population dynamics. We obtain the Morse critical groups at zero. The results show that the energy functional of the problem is trivial. As a consequence, the existence and bifurcation of the nontrivial solutions to the problem are established.
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    Öğe
    Some properties of the first eigenvalue of the p(x)-laplacian on riemannian manifolds
    (Tubitak Scientific & Technological Research Council Turkey, 2009) Mashiyev, R. A.; Alisoy, G.; Ogras, S.
    The main results of the present paper establishes a stability property of the first eigenvalue of the associated problem which deals with the p(x)-Laplacian on Riemannian manifolds with Dirichlet boundary condition.