Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques |
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| Authors: | R Ayazoglu Ismail Ekincioglu |
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| Institution: | 1. Faculty of Education, Bayburt University, Bayburt, Turkeyrayazoglu@bayburt.edu.tr rabilmashiyev@gmail.com;3. Faculty of Science and Arts, Dumlupinar University, Kütahya, Turkey |
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| Abstract: | 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. |
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| Keywords: | Iteration methods Mountain Pass theorem p(x)-Laplacian variable exponent Sobolev spaces |
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