Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques. (1st September 2016)

• Record Type: Journal Article
• Authors: (Mashiyev), R. Ayazoglu; Ekincioglu, Ismail
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 9(2016)
• Page Start: 1144
• Page End: 1157
• Publication Date: 2016-09-01
• Subjects: Iteration methods -- Mountain Pass theorem -- p(x)-Laplacian -- variable exponent Sobolev spaces; 35J35 -- 35J60 -- 35J70 -- 35D30; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1205088
• Languages: English
• ISSNs: 0163-0563

Abstract

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.