The application of the nonsmooth critical point theory to the stationary electrorheological fluids
DOI10.1007/S00033-016-0640-4zbMath1351.35147OpenAlexW2340896224MaRDI QIDQ322084
Publication date: 14 October 2016
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-016-0640-4
Non-Newtonian fluids (76A05) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On variational problems and nonlinear elliptic equations with nonstandard growth conditions
- On the superlinear problems involving \(p(x)\)-Laplacian-like operators without AR-condition
- Lebesgue and Sobolev spaces with variable exponents
- A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
- On stationary thermo-rheological viscous flows
- The obstacle problem for nonlinear elliptic equations with variable growth and \(L^{1}\)-data
- Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities
- Three nontrivial solutions for a quasilinear elliptic differential equation at resonance with discontinuous right hand side
- Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
- Mountain pass theorems for non-differentiable functions and applications
- Variational and non-variational methods in nonlinear analysis and boundary value problems
- A nontrivial solution of mountain-pass type for a hemivariational inequality
- Electrorheological fluids: modeling and mathematical theory
- Regularity results for stationary electro-rheological fluids
- Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
- Multiple solutions of constant sign for nonlinear nonsmooth eigenvalue problems near resonance
- On a Schrödinger-Kirchhoff-type equation involving the \(p(x)\)-Laplacian
- Nonlinear hemivariational inequalities at resonance
- \(H^2\) regularity for the \(p(x)\)-Laplacian in two-dimensional convex domains
- Nonlinear elliptic equations with variable exponent: old and new
- Very weak solutions of degenerate parabolic systems with non-standard \(p(x,t)\)-growth
- Multiple solutions for noncooperative \(p(x)\)-Laplacian equations in \(\mathbb R^N\) involving the critical exponent
- On the superlinear problems involving the \(p(x)\)-Laplacian and a non-local term without AR-condition
- Global gradient estimates for the parabolic \(p(x, t)\)-Laplacian equation
- Global gradient estimates for the \(p(\cdot)\)-Laplacian
- Existence of entire solutions for a class of variable exponent elliptic equations
- \(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations
- On some elliptic hemivariational and variational-hemivariational inequalities
- Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
- Morse theory and local linking for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- Positive solutions for nonlinear hemivariational inequalities
- Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
- Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance
- Stationary waves of Schrödinger-type equations with variable exponent
- Optimization and nonsmooth analysis
- Sobolev embeddings with variable exponent
- Flow of shear dependent electrorheological fluids
- Partial Differential Equations with Variable Exponents
- A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: The application of the nonsmooth critical point theory to the stationary electrorheological fluids