Yazarlar

  • MakaleAçık Erişim2016Scopus SJRQ1
    Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques

    Mashiyev, R. Ayazoglu; Ekincioglu, Ismail

    This article deals with a quasilinear elliptic equation with variable exponent under a homogenous Dirichlet boundary-value condition, where nonlinearity also depends on the gradient of the solution. By using an iterative method based on Mountain Pass techniques, the existence of a positive solution is obtained.

    AtıfScopus11WoS10OpenAlex13
    ScopusWeb of Scienceİncele
  • 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
    Scopusİncele