Applied Nonlinear Analysis

On the Regularity and Decay of the Weak Solutions to the Steady-State Navier-Stokes Equations in Exterior Domains.- A Note on Turbulence Modeling.- L2,?-Regularity for Nonlinear Elliptic Systems of Second Order.- On the Fredholm Alternative for Nonlinear Homogeneous Operators.- Existence of Solutions to a Nonlinear Coupled Thermo-Viscoelastic Contact Problem with Small Coulomb Friction.- On Some Global Existence Theorems for a Semilinear Parabolic Problem.- Bifurcation of Solutions to Reaction-Diffusion Systems with Jumping Nonlinearities.- Coupled Problems for Viscous Incompressible Flow in Exterior Domains.- Remarks on the Determinant in Nonlinear Elasticity and Fracture Mechanics.- On Modelling of Czochralski Flow, the Case of Non Plane Free Surface.- Symmetric Stationary Solutions to the Plane Exterior Navier-Stokes Problem for Arbitrary Large Reynolds Number.- A Fictitious-Domain Method with Distributed Multiplier for the Stokes Problem.- Reliable Solution of a Unilateral ContactProblem with Friction, Considering Uncertain Input Data.- Domain Decomposition Algorithm for Computer Aided Design.- Solution of Convection-Diffusion Problems with the Memory Terms.- On Global Existence of Smooth Two-Dimensional Steady Flows for a Class of Non-Newtonian Fluids under Various Boundary Conditions.- Viscosity Solutions for Degenerate and Nonmonotone Elliptic Equations.- Remarks on Compactness in the Formation of Fine Structures.- Finite Element Analysis of a Nonlinear Elliptic Problem with a Pure Radiation Condition.- Estimates of Three-Dimensional Oseen Kernels in Weighted LP Spaces.- Hardy's Inequality and Spectral Problems of Nonlinear Operators.- Remarks on the Regularity of Solutions of Elliptic Systems.- Singular Perturbations in Optimal Control Problem.- Optimization of Steady Flows for Incompressible Viscous Fluids.- Asymptotic Behaviour of Compressible Maxwell Fluids in Exterior Domains.- Regularity of a Suitable Weak Solution to the Navier-Stokes Equations as a Consequence of Regularity of One Velocity Component.- On a Class of High Resolution Methods for Solving Hyperbolic Conservation Laws with Source Terms.- On the Decay to Zero of the L2-Norms of Perturbations to a Viscous Compressible Fluid Motion Exterior to a Compact Obstacle.- Global Behavior of Compressible Fluid with a Free Boundary and Large Data.- A Geometric Approach to Dynamical Systems in ?N.- On a Three-Dimensional Convective Stefan Problem for a Non-Newtonian Fluid.- Replacing H by H2.- Flow of Shear Dependent Electrorheological Fluids: Unsteady Space Periodic Case.- On Decay of Solustions to the Navier-Stokes Equations.- Convexity Conditions for Rotationally Invariant Functions in Two Dimensions.- Hölder Continuity of Weak Solutions to Certain Nonlinear Parabolic Systems in Two Space Dimensions.