Analysis and Continuum Mechanics: A Collection of Papers Dedicated to J. Serrin on His Sixtieth Birthday

Front Matter....Pages I-X
Differentiability of the Blow-up Curve for one Dimensional Nonlinear Wave Equations....Pages 1-16
On the Existence of Positive Entire Solutions of a Semilinear Elliptic Equation....Pages 17-42
The Uniqueness of Hill’s Spherical Vortex....Pages 43-71
Lyapunov Functions for Thermomechanics with Spatially Varying Boundary Temperatures....Pages 73-84
A Semilinear Elliptic Problem which is not Selfadjoint....Pages 85-105
A Multiparameter Study of a Boundary Value Problem from Chemical Reactor Theory....Pages 107-135
Boundary Regularity for Quasiminima....Pages 137-148
Positively Invariant Regions for a Problem in Phase Transitions....Pages 149-167
A Note on a Theorem of R. Duffin....Pages 169-180
The Boundary Value Problems for Non-Linear Elliptic Equations and the Maximum Principle for Euler-Lagrange Equations....Pages 181-210
Qualitative Properties of Large Buckled States of Spherical Shells....Pages 211-238
Stable Equilibrium Configurations of Elastic Crystals....Pages 239-252
Inequalities between Dirichlet and Neumann Eigenvalues....Pages 253-268
Embeddings of Anisotropic Sobolev Spaces....Pages 269-276
Monotonic Decreasing and Asymptotic Behavior of the Kinetic Energy for Weak Solutions of the Navier-Stokes Equations in Exterior Domains....Pages 277-290
Quasilinear Hyperbolic Systems with Involutions....Pages 291-307
A generalized Norton-Hoff Model and the Prandtl-Reuss Law of Plasticity....Pages 309-355
Symmetry and the Bifurcation of Capillary-Gravity Waves....Pages 357-381
Smoothness of Linear Laminates....Pages 383-398
On the Behavior of the Derivatives of Minimizers near Singular Points....Pages 399-408
Ground States and Dirichlet Problems for — Δu = f(u) in R 2 ....Pages 409-427
On Phase Transitions with Bulk, Interfacial, and Boundary Energy....Pages 429-450
Spectral Properties of the Laplacian in the Complement of a Deformed Cylinder....Pages 451-457
A New Proof of Moser’s Parabolic Harnack Inequality Using the old Ideas of Nash....Pages 459-470
Weakly Decaying Energy Separation and Uniqueness of Motions of an Elastic-Plastic Oscillator with Work-Hardening....Pages 471-490
On Effects of Virtual Inertia during Diffusion of a Dispersed Medium in a Suspension....Pages 491-498
Existence of Positive Solutions for Semilinear Elliptic Equations in General Domains....Pages 499-519
Assembling a Rearrangement....Pages 521-529
Asymptotic Behaviour of Solutions of Semi-Linear Elliptic Equations in ℝ n ....Pages 531-541
Existence Theorems Concerning Simple Integrals of the Calculus of Variations for Discontinuous Solutions....Pages 543-564
On the Uniqueness of Flow of a Navier-Stokes Fluid Due to a Stretching Boundary....Pages 565-573
On the Behavior at Infinity of Solutions of Elliptic Systems with a Finite Energy Integral....Pages 575-589
A Class of Quasilinear Differential Inequalities whose Solutions are Ultimately Constant....Pages 591-613
Singular Solutions for some Semilinear Elliptic Equations....Pages 615-625
Eventual C ∞ -Regularity and Concavity for Flows in One-Dimensional Porous Media....Pages 627-646
Fine Phase Mixtures as Minimizers of Energy....Pages 647-686
Fit Regions and Functions of Bounded Variation....Pages 687-707
The Lavrentiev Phenomenon for Invariant Variational Problems....Pages 709-745
Steady, Structured Shock Waves. Part 1: Thermoelastic Materials....Pages 747-817
Back Matter....Pages 819-829