Yazarlar

  • MakaleYalnız künye2014Scopus SJRQ4
    Existence and uniqueness of solutions of a nonlocal problem involving the p(x)-Laplacian

    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.

    AtıfScopus1
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  • MakaleAçık Erişim2013Scopus SJRQ3
    Existence of solutions for an elliptic equation with nonstandard growth

    Avci, M.; Mashiyev, R. Ayazoglu; 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.

    AtıfScopus2OpenAlex2
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