Partial Differential Equations and the Calculus of Variations: Essays in Honor of Ennio De Giorgi

Front Matter....Pages i-x
On a Class of Nonlinear Diagonal Elliptic Systems with Critical Growth and C α -Regularity....Pages 519-540
Higher Integrability from Reverse Jensen Inequalities with Different Supports....Pages 541-562
Partial Regularity of Cartesian Currents which Minimize Certain Variational Integrals....Pages 563-587
Theoreme des Minimax Locaux et Fonctions Topologiquement Fermees....Pages 589-631
Variational Principles with Linear Growth....Pages 633-659
Estimation de L’erreur Dans des Problemes de Dirichlet ou Apparait un Terme Etrange....Pages 661-696
On Atypical Variational Problems....Pages 697-701
Sur la Controlabilite Exacte Elargie....Pages 703-727
Low and High Frequency Vibration in Stiff Problems....Pages 729-742
A Time-Discretization Scheme Approximating the Non-Linear Evolution Equation u t + ABu = 0....Pages 743-765
The Stored-Energy for Some Discontinuous Deformations in Nonlinear Elasticity....Pages 767-786
The Calculus of Variations and Some Semilinear Variational Inequalities of Elliptic and Parabolic Type....Pages 787-822
Some Remarks on the Dependence Domain for Weakly Hyperbolic Equations with Constant Multiplicity....Pages 823-842
Monotonicity of the Energy for Entire Solutions of Semilinear Elliptic Equations....Pages 843-850
Pseudo-Differential Operators of Volterra Type on Spaces of Ultra Distributions and Parabolic Mixed Problems....Pages 851-878
The Neumann Problem for Second Order Elliptic Equations with Rapidly Oscillating Periodic Coefficients in a Perforated Domain....Pages 879-904
Discrete Exterior Measures and Their Meaning in Applications....Pages 905-918
An Embedding Theorem....Pages 919-924
Nonlocal Effects Induced by Homogenization....Pages 925-938
On Regularity and Existence of Viscosity Solutions of Nonlinear Second Order, Elliptic Equations....Pages 939-957
Etude D’un Système en Multiplicité 4, Lorsque le Degrée du Polynôme Minimal Est Petit....Pages 959-981
On the Weierstrass Integrals of the Calculus of Variations over BV Varieties: Recent Results of the Mathematical Seminar in Perugia....Pages 983-995
Variable Structure Control of Semilinear Evolution Equations....Pages 997-1018
Back Matter....Pages 1019-1019