Partial Differential Equations and the Calculus of Variations

Chapter 1 An Improvement of Cartan’s Test for Ordinarity

Chapter 2 A Mathematical Contribution to Gibbs’s Analysis of Fluid Phases in Equilibrium

Chapter 3 The Epi-Continuation Method for Minimization Problems. Relation with the Degree Theory of F. Browder for Maximal Monotone Operators

Chapter 4 Discretization of Evolution Variational Inequalities

Chapter 5 Homogenization for Non Linear Elliptic Equations with Random Highly Oscillatory Coefficients

Chapter 6 L ∞ and L 1 Variations on a Theme of Γ-Convergence

Chapter 8 Asymptotic Behaviour for Dirichlet Problems in Domains Bounded by Thin Layers

Chapter 9 Fundamental Interior Estimates for a Class of Second Order Elliptic Operators

Chapter 10 Γ-Convergence of Integral Functionals Defined on Vector-Valued Functions

Chapter 11 Limits of Obstacle Problems for the Area Functional

Chapter 12 Some Remarks on the Well-Posedness of the Cauchy Problem in Gevrey Spaces

Chapter 13 Approximating Measures and Rectifiable Curves

Chapter 14 A Non-Uniqueness Result for the Operators with Principal Part $$ partial _t^2 {\text{ }} + {\text{ a}}\left( t \right)\partial _x^2 $$

Chapter 15 A Note on Duality and the Calculus of Variations

Chapter 16 Some Results on Periodic Solutions of Hamilton-Jacobi Equations in Hilbert Spaces

Chapter 17 Generalized Solutions to Ordinary Differential Equations with Discontinuous Right-Hand Sides Via Γ-Convergence

Chapter 18 Stationary Solutions of Nonlinear Schrödinger Equations with an External Magnetic Field

Chapter 19 On the Touching Principle

Chapter 20 Generalized Solutions and Convex Duality in Optimal Control

Chapter 21 Models of Self-Descriptive Set Theories