Variational Analysis and Applications

Front Matter....Pages 1-1
The Work of G. Stampacchia in Variational Inequalities....Pages 3-30
In Memory of Guido Stampacchia....Pages 31-32
The Collaboration between Guido Stampacchia and Jacques-Louis Lions on Variational Inequalities....Pages 33-38
In Memory of Guido Stampacchia....Pages 39-46
Guido Stampacchia....Pages 47-77
Memories of Guido Stampacchia....Pages 79-80
In Memory of Guido Stampacchia....Pages 81-82
Guido Stampacchia, My Father....Pages 83-86
Front Matter....Pages 87-87
Convergence and Stability of a Regularization Method for Maximal Monotone Inclusions and Its Applications to Convex Optimization....Pages 89-132
Partitionable Mixed Variational Inequalities....Pages 133-146
Irreducibility of the Transition Semigroup Associated with the Two Phase Stefan Problem....Pages 147-159
On Some Boundary Value Problems for Flows with Shear Dependent Viscosity....Pages 161-172
Homogenization of Systems of Partial Differential Equations....Pages 173-193
About the Duality Gap in Vector Optimization....Pages 195-204
Separation of Convex Cones and Extremal Problems....Pages 205-213
Infinitely Many Solutions for the Dirichlet Problem Via a Variational Principle of Ricceri....Pages 215-229
A Density Result on the Space VMO ω ....Pages 231-237
Linear Complementarity Since 1978....Pages 239-257
Variational Inequalities in Vector Optimization....Pages 259-278
Variational Inequalities for General Evolutionary Financial Equilibrium....Pages 279-299
Front Matter....Pages 87-87
Variational Control Problems with Constraints Via Exact Penalization....Pages 301-342
Continuous Sets and Non-Attaining Fuctionals in Reflexive Banach Spaces....Pages 343-357
Existence and Multiplicity Results for a Non Linear Hammerstein Integral Equation....Pages 359-371
Differentiability of Weak Solutions of Nonlinear Second Order Parabolic Systems with Quadratic Growth and Non Linearity q ≥ 2....Pages 373-392
An Optimization Problem with an Equilibrium Constraint in Urban Transport....Pages 393-408
Sharp Estimates for Green’s Functions: Singular Cases....Pages 409-426
First-Order Conditions for C 0,1 Constrained Vector Optimization....Pages 427-450
Global Regularity for Solutions to Dirichlet Problem for Elliptic Systems with Nonlinearity q ≥ 2 and with Natural Growth....Pages 451-463
Optimality Conditions for Generalized Complementarity Problems....Pages 465-475
Variational Inequalities for Time Dependent Financial Equilibrium with Price Constraints....Pages 477-496
Remarks About Diffusion Mediated Transport: Thinking About Motion in Small Systems....Pages 497-511
Augmented Lagrangian and Nonlinear Semidefinite Programs....Pages 513-529
Optimality Alternative: a Non-Variational Approach to Necessary Conditions....Pages 531-552
A Variational Inequality Scheme for Determining an Economic Equilibrium of Classical or Extended Type....Pages 553-577
On Time Dependent Vector Equilibrium Problems....Pages 579-587
On Some Nonstandard Dynamic Programming Problems of Control Theory....Pages 589-603
Properties of Gap Function for Vector Variational Inequality....Pages 605-631
Zero Gravity Capillary Surfaces and Integral Estimates....Pages 633-649
Asymptotically Critical Points and Multiple Solutions in the Elastic Bounce Problem....Pages 651-663
A Branch-and-Cut to the Point-to-Point Connection Problem on Multicast Networks....Pages 665-680
Front Matter....Pages 87-87
Variational Inequality and Evolutionary Market Disequilibria: The Case of Quantity Formulation....Pages 681-696
Numerical Approximation of Free Boundary Problem by Variational Inequalities. Application to Semiconductor Devices....Pages 697-722
Sensitivity Analysis for Variational Systems....Pages 723-743
Stable Critical Points for the Ginzburg Landau Functional on Some Plane Domains....Pages 745-764
The Distance Function to the Boundary and Singular Set of Viscosity Solutions of Hamilton-Jacobi Equation....Pages 765-772
L P -Regularity for Poincaré Problem and Applications....Pages 773-789
Minimal Fractions of Compact Convex Sets....Pages 791-811
On Generalized Variational Inequalities....Pages 813-826
Bounded (Hausdorff) Convergence: Basic Facts and Applications....Pages 827-854
Control Processes with Distributed Parameters in Unbounded Sets. Approximate Controllability with Variable Initial Locus....Pages 855-887
Well Posedness and Optimization Problems....Pages 889-904
Semismooth Newton Methods for Shape-Preserving Interpolation, Option Price and Semi-Infinite Programs....Pages 905-919
Hölder Regularity Results for Solutions of Parabolic Equations....Pages 921-934
Survey on the Fenchel Problem of Level Sets....Pages 935-951
Integral Functionals on Sobolev Spaces Having Multiple Local Minima....Pages 953-961
Aspects of the Projector on Prox-Regular Sets....Pages 963-973
Application of Optimal Control Theory to Dynamic Soaring of Seabirds....Pages 975-994
On the Convergence of the Matrices Associated to the Adjugate Jacobians....Pages 995-1006
Quasi-Variatonal Inequalities Applied to Retarded Equilibria in Time-Dependent Traffic Problems....Pages 1007-1023
Higher Order Approximation Equations for the Primitive Equations of the Ocean....Pages 1025-1048
Front Matter....Pages 87-87
Hahn-Banach Theorems and Maximal Monotonicity....Pages 1049-1083
Concrete Problems and the General Theory of Extremum....Pages 1085-1100
Numerical Solution for Pseudomonotone Variational Inequality Problems by Extragradient Methods....Pages 1101-1128
Regularity and Existence Results for Degenerate Elliptic Operators....Pages 1129-1140
Vector Variational Inequalities and Dynamic Traffic Equilibria....Pages 1141-1157
A New Proof of the Maximal Monotonicity of the Sum Using the Fitzpatrick Function....Pages 1159-1172