PART 1 The Work of G. Stampacchia in Variational Inequalities (J.-L. Lions) In Memory of Guido Stampacchia (M.G. Garroni) The Collaboration between Guido Stampacchia and Jacques-Louis Lions On Variational Inequalities (E. Magenes) In Memory of Guido Stampacchia (O.G. Mancino) Guido Stampacchia (S. Mazzone) Memories of Guido Stampacchia (L. Nirenberg) In Memory of Guido Stampacchia (C. Sbordone) Guido Stampacchia, My Father (G. Stampacchia) PART 2 Convergence and Stability of a Regularization Method for Maximal Monotone Inclusions and its Applications to Convex Optimization (Ya. I. Alber, D. Butnariu and G. Kassay) Partitionable Mixed Variational Inequalities (E. Allevi, A. Gnudi, I.V. Konnov and E.O. Mazurkevich) Irreducibility of the Transition Semigroup Associated with the Two Phase Stefan Problem (V. Barbu and G. Da Prato) On Some Boundary Value Problems for Flows with Shear Dependent Viscosity (H. Beirão da Veiga) Homogenization of Systems of Partial Differential Equations (A. Bensoussan) About the Duality Gap in Vector Optimization (G. Bigi and M. Pappalardo) Separation of Convex Cones and Extremal Problems (V. Boltyanski) Infinitely Many Solutions for the Dirichlet Problem via a VariationalPrinciple of Ricceri (F.Cammaroto, A.Chinnì, and B. Di Bella) A Density Result on the Space (A.O. Caruso and M.S. Fanciullo) Linear Complementarity since 1978 (R.W. Cottle) Variational Inequalities in Vector Optimization (G.P. Crespi, I. Ginchev and M. Rocca) Variational Inequalities for General Evolutionary Financial Equilibrium (P. Daniele) Variational Control Problems with Constraints via Exact Penalization (V.F. Demyanov, F. Giannessi and G.Sh. Tamasyan) Continuous Sets and Non-Attaining Functionals in Reflexive Banach Spaces (E. Ernst and M. Théra) Existenceand Multiplicity Results for a Nonlinear Hammerstein Integral Equation (F. Faraci) Differentiability of Weak Solutions of Nonlinear Second Order Parabolic Systems with Quadratic Growth and Non Linearity (L. Fattorusso) An Optimization Problem with Equilibrium Constraint in Urban Transport (P. Ferrari) Sharp Estimates for Green’s Functions: Singular Cases (M.G. Garroni) First-Order Conditions for Constrained Vector Optimization (I. Ginchev, A. Guerraggio and M. Rocca) Global Regularity for Solutions to Dirichlet Problem for Elliptic Systems with Nonlinearity and with Natural Growth (S. Giuffrè and G. Idone) Optimality Conditions for Generalized Complementarity Problems (S. Giuffrè, G. Idone and A. Maugeri) Variational Inequalities for Time Dependent Financial Equilibrium with Price Constraints (S. Giuffrè and S. Pia) Remarks about Diffusion Mediated Transport: Thinking about Motion in Small Systems (S. Hastings and D. Kinderlehrer) Augmented Lagrangian and Nonlinear Semidefinite Programs (X.X. Huang, X.Q. Yang and K.L. Teo) Optimality Alternative: a Non-Variational Approach to Necessary Conditions (A.D. Ioffe) A Variational Inequality Scheme for Determining an Economic Equilibrium of Classical or Estended Type (A. Jofre, R.T. Rockafellar and R.J.-B. Wets) On Time Dependent Vector Equilibrium Problems (A. Khan and F. Raciti) On Some Nonstandard Dynamic Programming Problems of Control Theory (A.B. Kurzhanski and P. Varaiya) Properties of Gap Function for Vector Variational Inequality (S.J. Li and G.Y. Chen) Zero Gravity Capillary Surfaces and Integral Estimates (G.M. Lieberman) Asymptotically Critical Points and Multiple Solutions in the Elastic Bounce Problem (A. Marino and C. Saccon) A Branch-and-Cut to the Point-to-Point Connection Problem on Multicast Networks (C.N. Meneses, C.A.S. Oliveira and P.M.
This book discusses a new discipline, variational analysis, which contains the calculus of variations, differential calculus, optimization, and variational inequalities. To such classic branches of mathematics, variational analysis provides a uniform theoretical base that represents a powerful tool for the applications. The contributors are among the best experts in the field.
Audience
The target audience of this book includes scholars in mathematics (especially those in mathematical analysis), mathematical physics and applied mathematics, calculus of variations, optimization and operations research, industrial mathematics, structural engineering, and statistics and economics.