Partial Differential Equations and the Calculus of Variations [electronic resource] Essays in Honor of Ennio De Giorgi Volume 1 / by COLOMBINI, MARINO, MODICA, SPAGNOLA.

The Italian school of Mathematical Analysis has long and glo­ rious traditions. In the last thirty years it owes very much to the scientific pre-eminence of Ennio De Giorgi, Professor of Mathemati­ cal Analysis at the Scuola Normale Superiore di Pisa. His fundamental theorems in Calculus of Variatio...

Full description

Bibliographic Details
Uniform Title:Progress in Nonlinear Differential Equations and Their Applications, 2374-0280 ; 1
Main Authors: COLOMBINI (Author)
MARINO (Author)
MODICA (Author)
SPAGNOLA (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1989.
Edition:1st ed. 1989.
Series:Progress in Nonlinear Differential Equations and Their Applications, 1
Subjects:
Differential equations.
Mathematical optimization.
Calculus of variations.
Online Access:
Springer Book Archive - Mathematics: 1989 (Springer Link)
Format: Electronic eBook
Contents:
  • An improvement of Cartan’s test for ordinarity
  • A mathematical contribution to Gibbs’s analysis of fluid phases in equilibrium
  • The epi-continuation method for minimization problems. Relation with the degree theory of F.Browder for maximal monotone operators
  • Discretization of evolution variational inequalities
  • Homogenization for non linear elliptic equations with random highly oscillatory coefficients
  • L? and L1 variations on a theme of ? -convergence
  • Asymptotics for elliptic equations involving critical growth
  • Asymptotic behaviour for Dirichlet problems in domains bounded by thin layers
  • Fundamental interior estimates for a class of second order elliptic operators
  • ?-Convergence of integral functionals defined on vector-valued functions
  • Limits of obstacle problems for the area functional
  • Some remarks on the well-posedness of the Cauchy problem in Gevrey spaces
  • Approximating measures and rectifiable curves
  • A non-uniqueness result for the operators with principal part ?2t + a(t)?2x
  • A note on duality and the calculus of variations
  • Some results on periodic solutions of Hamilton-Jacobi equations in Hilbert spaces
  • Generalized solutions to ordinary differential equations with discontinuous right-hand sides via ?-convergence
  • Stationary solutions of nonlinear Schrödinger equations with an external magnetic field
  • On the touching principle
  • Generalized solutions and convex duality in optimal control
  • Models of self-descriptive set theories.