Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques

DOI10.1080/01630563.2016.1205088zbMath1354.35108OpenAlexW2471805269MaRDI QIDQ2829609

Rabil Ayazoglu Mashiyev, Ismail Ekincioglu

Publication date: 8 November 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1205088

zbMATH Keywords

mountain pass theoremiteration methodsvariable exponent Sobolev spaces\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35)

Related Items (5)

Unnamed Item ⋮ On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence ⋮ Unnamed Item ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term ⋮ Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional \(p(.,.)\)-Laplacian operator in \(\mathbb{R}^N\)

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
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• Extensions of the mountain pass theorem
• Existence and nonexistence of solutions for quasilinear elliptic equations
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• Existence of multiple solutions to nonlinear elliptic equations of nondivergence form
• Dual variational methods in critical point theory and applications
• Existence and multiplicity results for degenerate elliptic equations with dependence on the gradient
• Quasilinear equations with dependence on the gradient via mountain pass techniques in \(\mathbb R^N\)
• Multiple solutions for a class of p(x)-Kirchhoff type problems with Neumann boundary conditions
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• Existence and uniqueness of positive solution of a logistic equation with nonlinear gradient term
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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