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Öğe Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques(Taylor and Francis Inc., 2016) Mashiyev R.A.; Ekincioglu I.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. © 2016, Copyright © Taylor & Francis Group, LLC.Öğe Existence of one weak solution for p(X)-biharmonic equations involving a concave-convex nonlinearity(Drustvo Matematicara Srbije, 2017) Mashiyev R.A.; Alisoy G.; Ekincioglu I.In the present paper, using variational approach and the theory of the variable exponent Lebesgue spaces, the existence of nontrivial weak solutions to a fourth order elliptic equation involving a p(x)-biharmonic operator and a concave-convex nonlinearity the Navier boundary conditions is obtained. © 2017, Drustvo Matematicara Srbije. All rights reserved.Öğe 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.
