Nonlinear Elliptic and Parabolic Problems (eBook)

Bounded Imaginary Powers and H?-Calculus of the Stokes Operator in Unbounded Domains.- Exact Estimates of Solutions to the Robin Boundary Value Problem for Elliptic Non-divergent Second-order Equations in a Neighborhood of the Boundary Conical Point.- Well-posedness of a Two-phase Flow with Soluble Surfactant.- Resolvent Differences for General Obstacles.- Special Finite Time Extinction in Nonlinear Evolution Systems: Dynamic Boundary Conditions and Coulomb Friction Type Problems.- Spectral Projections, Riesz Transforms and H?-calculus for Bisectorial Operators.- Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data.- Grow-up on the Boundary for a Semilinear Parabolic Problem.- Existence and Uniqueness Results for Reaction-diffusion Processes of Electrically Charged Species.- An Inverse Problem for a Phase-field Model in Sobolev Spaces.- Numerical Analysis of Microstructures: The Influence of Incompatibility.- Nonlinear Singular Elliptic Problems: Recent Results and Open Problems.- The Navier-Stokes Flow in the Exterior of Rotating Obstacles.- A Global Bifurcation Result for Variational Inequalities.- On Elliptic Non-divergence Operators with Measurable Coefficients.- A Chemotaxis Model with Threshold Density and Degenerate Diffusion.- In the blink of an Eye.- Generalized Minimal Cardinal of the ?-slices of the Semi-bounded Components Arising in Global Bifurcation Theory.- Blow-up of Solutions of a Semilinear Heat Equation with a Visco-elastic Term.- Finite Element Methods for Investigating the Moving Boundary Problem in Biological Development.- Existence of Weak Solutions to the Equations of Stationary Motion of Heat-conducting Incompressible Viscous Fluids.- Liouville Type Theorems and Complete Blow-up for Indefinite Superlinear Parabolic Equations.- On Reducing the 2d Navier-Stokes Equations to a System of Delayed ODEs.- Quasilinear Parabolic Equations in Lp.- Parabolic Equations in Locally Uniform Spaces.- Bifurcation of Traveling Waves Related to the Bénard Equations with an Exterior Force.- Vector-valued Sobolev Spaces and Gagliardo-Nirenberg Inequalities.- The Influence of Gradient Perturbations on Blow-up Asymptotics in Semilinear Parabolic Problems: A Survey.- Non-existence of Positive Solutions for Diffusive Logistic Equations with Nonlinear Boundary Conditions.- Extremal Equilibria and Asymptotic Behavior of Parabolic Nonlinear Reaction-diffusion Equations.- A Remark on Continuous Coagulation-Fragmentation Equations with Unbounded Diffusion Coefficients.- On Lp-Estimates of Optimal Type for the Parabolic Oblique Derivative Problem with VMO-Coefficients — A Refined Version.