Nonlinear Elliptic and Parabolic Problems: A Special Tribute to the Work of Herbert Amann

Bounded Imaginary Powers and H ∞ -Calculus of the Stokes Operator in Unbounded Domains....Pages 1-15
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....Pages 17-35
Well-posedness of a Two-phase Flow with Soluble Surfactant....Pages 37-61
Resolvent Differences for General Obstacles....Pages 63-70
Special Finite Time Extinction in Nonlinear Evolution Systems: Dynamic Boundary Conditions and Coulomb Friction Type Problems....Pages 71-97
Spectral Projections, Riesz Transforms and H ∞ -calculus for Bisectorial Operators....Pages 99-112
Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data....Pages 113-136
Grow-up on the Boundary for a Semilinear Parabolic Problem....Pages 137-150
Existence and Uniqueness Results for Reaction-diffusion Processes of Electrically Charged Species....Pages 151-188
An Inverse Problem for a Phase-field Model in Sobolev Spaces....Pages 189-210
Numerical Analysis of Microstructures: The Influence of Incompatibility....Pages 211-225
Nonlinear Singular Elliptic Problems: Recent Results and Open Problems....Pages 227-242
The Navier-Stokes Flow in the Exterior of Rotating Obstacles....Pages 243-250
A Global Bifurcation Result for Variational Inequalities....Pages 253-264
On Elliptic Non-divergence Operators with Measurable Coefficients....Pages 265-272
A Chemotaxis Model with Threshold Density and Degenerate Diffusion....Pages 273-290
In the blink of an Eye....Pages 291-327
Generalized Minimal Cardinal of the λ-slices of the Semi-bounded Components Arising in Global Bifurcation Theory....Pages 329-349
Blow-up of Solutions of a Semilinear Heat Equation with a Visco-elastic Term....Pages 351-356
Finite Element Methods for Investigating the Moving Boundary Problem in Biological Development....Pages 357-371
Existence of Weak Solutions to the Equations of Stationary Motion of Heat-conducting Incompressible Viscous Fluids....Pages 373-390
Liouville Type Theorems and Complete Blow-up for Indefinite Superlinear Parabolic Equations....Pages 391-402
On Reducing the 2d Navier-Stokes Equations to a System of Delayed ODEs....Pages 403-411
Quasilinear Parabolic Equations in L p ....Pages 413-419
Parabolic Equations in Locally Uniform Spaces....Pages 421-432
Bifurcation of Traveling Waves Related to the Bénard Equations with an Exterior Force....Pages 433-462
Vector-valued Sobolev Spaces and Gagliardo-Nirenberg Inequalities....Pages 463-472
The Influence of Gradient Perturbations on Blow-up Asymptotics in Semilinear Parabolic Problems: A Survey....Pages 473-495
Non-existence of Positive Solutions for Diffusive Logistic Equations with Nonlinear Boundary Conditions....Pages 497-507
Extremal Equilibria and Asymptotic Behavior of Parabolic Nonlinear Reaction-diffusion Equations....Pages 509-516
A Remark on Continuous Coagulation-Fragmentation Equations with Unbounded Diffusion Coefficients....Pages 517-528
On L p -Estimates of Optimal Type for the Parabolic Oblique Derivative Problem with VMO-Coefficients — A Refined Version....Pages 529-536