Yazar "Avci M." seçeneğine göre listele

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    Existence and uniqueness of solutions of a nonlocal problem involving the p(x)-Laplacian
    (University of Craiova, 2014) Avci M.; Ayazoglu R.
    The object of this paper is to study a nonlocal problem involving the p(x)-Laplacian where nonlinearities f do not necessarily satisfy the classical conditions, such as Ambrosetti-Rabinowitz condition, but are limited by functions that do satisfy some specific conditions. By using the direct variational approach and the theory of the variable exponent Sobolev spaces, the existence and uniqueness of solutions is obtained.
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    Existence of solutions for an elliptic equation with nonstandard growth
    (2013) Avci M.; Mashiyev R.A.; Cekic B.
    This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions. © 2013 Academic Publications, Ltd.
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    Positive periodic solutions of nonlinear differential equations system with nonstandard growth
    (Elsevier Ltd, 2015) Ayazoglu Mashiyev R.; Avci M.
    In this work, we study the existence of positive periodic solutions for a p(t)-Laplacian system. © 2014 Elsevier Ltd.
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    Solutions of an anisotropic nonlocal problem involving variable exponent
    (Walter de Gruyter GmbH, 2013) Avci M.; Ayazoglu R.A.; Cekic B.
    The present paper deals with an anisotropic Kirchhoff problem under homogeneous Dirichlet boundary conditions, set in a bounded smooth domain ? of ?N (N ? 3). The problem studied is a stationary version of the original Kirchhoff equation, involving the anisotropic p?(.)-Laplacian operator, in the framework of the variable exponent Lebesgue and Sobolev spaces. The question of the existence of weak solutions is treated. Applying the Mountain Pass Theorem of Ambrosetti and Rabinowitz, the existence of a nontrivial weak solution is obtained in the anisotropic variable exponent Sobolev space W0 1p?(.) (?), provided that the positive parameter ? that multiplies the nonlinearity f is small enough. © de Gruyter 2013.