Variational Analysis and Applications

Hardcover | July 6, 2005

EditorFranco Giannessi

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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.

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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 contributor...

From the Jacket

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 contributor...

Format:HardcoverDimensions:1196 pages, 9.25 × 6.1 × 0.39 inPublished:July 6, 2005Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387242090

ISBN - 13:9780387242095

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Table of Contents

PART 1The 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 2Convergence 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 FinancialEquilibrium (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)Existence and 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. Pardalos)Variational Inequality and Evolutionary Market Disequilibria: The Case of Quantity Formulation (M. Milasi and C. Vitanza)Numerical Approximation of Free Boundary Problem by Variational Inequalities. Application to Semiconductor Devices (M. Morandi Cecchi and R. Russo)Sensitivity Analysis for Variational Systems (B.S. Mordukhovich)Stable Critical Points for the Ginzburg Landau Functional on Some Plane Domains (M.K. Venkatesha Murthy)The Distance Function to the Boundary and Singular Set of Viscosity solutions of Hamilton-Jacobi Equation (L. Nirenberg)Lp-Regularity for Poincaré Problem and Applications (D.K. Palagachev)Minimal Fractions of Compact Convex Sets (D. Pallaschke and R. Urbanski)On Generalized Variational Inequalities (B. Panicucci and M. Pappalardo)Bounded (Hausdorff) Convergence: Basic Facts and Applications (J.-P. Penot and C. Zalinescu)Control Processes with Distributed Parameters in Unbounded Sets. Approximate Controllability with Variable Initial Locus (G. Pulvirenti, G. Santagati and A. Villani)Well Posedness and Optimization Problems (L. Pusillo)Semismooth Newton Methods for Shape-Preserving Interpolation, Option Price and Semi-Infinite Programs (L. Qi)Hölder Regularity Results for Solutions of Parabolic Equations (M.A. Ragusa)Survey on the Fenchel Problem of Level Sets (T. Rapcsák)Integral Functionals on Sobolev Spaces Having Multiple Local Minima (B. Ricceri)Aspects of the Projector on Prox-Regular Sets (Stephen M. Robinson)Application of Optimal Control Theory to Dynamic Soaring of Seabirds (G. Sachs and P. Bussotti)On The Convergence of the Matrices Associated to the Adjugate Jacobians (C. Sbordone)Quasi-Variational Inequalities Applied to Retarded Equilibria in Time-Dependent Traffic Problems (L. Scrimali)Higher Order Approximation Equations for the Primitive Equations of the Ocean (E. Simonnet, T. Tachim Medjo and R. Temam)Hahn-Banach Theorems and Maximal Monotonicity (S. Simons)Concrete Problems and the General Theory of Extremum (V.M. Tikhomirov)Numerical Solution for Pseudomonotone Variational Inequality Problems by Extragradient Methods (F. Tinti)Regularity and Existence Results for Degenerate Elliptic Operators (C. Vitanza and P. Zamboni)Vector Variational Inequalities and Dynamic Traffic Equilibria (X.Q. Yang and H. Yu)A New Proof of the Maximal Monotonicity of the Sum using the Fitzpatrick Function (C. Zalinescu)Contributors