Variational Analysis and Applications

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Franco Giannessi, Antonino Maugeri
Springer Science & Business Media, Mar 6, 2007 - Mathematics - 1184 pages
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This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.
 

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Contents

In Memory of Guido Stampacchia
31
In Memory of Guido Stampacchia
39
Guido Stampacchia
47
Stable Critical Points for the Ginzburg Landau Functional on Some Plane
55
Memories of Guido Stampacchia 79
78
Guido Stampacchia My Father
83
Partitionable Mixed Variational Inequalities
133
Irreducibility of the Transition Semigroup Associated with
147
A Variational Inequality Scheme for Determining an Economic
553
On Time Dependent Vector Equilibrium Problems 579
578
Properties of Gap Function for Vector Variational Inequality 605
604
Zero Gravity Capillary Surfaces and Integral Estimates
633
Asymptotically Critical Points and Multiple Solutions in the Elastic 651
650
A BranchandCut to the PointtoPoint Connection Problem on Multicast
665
The Case
681
Numerical Approximation of Free Boundary Problem by Variational
697

On Some Boundary Value Problems for Flows with Shear Dependent
160
Viscosity 161
171
About the Duality Gap in Vector Optimization
195
Separation of Convex Cones and Extremal Problems
205
Infinitely Many Solutions for the Dirichlet Problem via a Variational
214
A Density Result on the Space VMOw
231
Linear Complementarity since 1978 239
238
Variational Inequalities in Vector Optimization
259
Variational Inequalities for General Evolutionary Financial
279
Variational Control Problems with Constraints via Exact Penalization 301
300
a NonVariational Approach to Necessary
335
Continuous Sets and NonAttaining Functionals in Reflexive Banach
343
Existence and Multiplicity Results for a Nonlinear Hammerstein Integral
359
Differentiability of Weak Solutions of Nonlinear Second Order Parabolic
372
An Optimization Problem with Equilibrium Constraint in Urban
393
Singular Cases
409
F irstOrder Conditions for C Constrained Vector Optimization
427
Global Regularity for Solutions to Dirichlet Problem for Elliptic Systems
451
Optimality Conditions for Generalized Complementarity Problems 465
464
Variational Inequalities for Time Dependent Financial Equilibrium with
477
Thinking about Motion
497
Sensitivity Analysis for Variational Systems
723
The Distance Function to the Boundary and Singular Set of Viscosity
765
Minimal Fractions of Compact Convex Sets
791
On Generalized Variational Inequalities 813
812
Basic Facts and Applications
827
Control Processes with Distributed Parameters in Unbounded Sets
855
Well Posedness and Optimization Problems
889
Semismooth Newton Methods for ShapePreserving Interpolation Option
905
Holder Regularity Results for Solutions of Parabolic Equations 921
920
Survey on the F enchel Problem of Level Sets
935
Integral Functionals on Sobolev Spaces Having Multiple Local
953
Application of Optimal Control Theory to Dynamic Soaring
975
On The Convergence of the Matrices Associated to the Adjugate
995
Higher Order Approximation Equations for the Primitive Equations of
1024
HahnBanach Theorems and Maximal Monotonicity
1049
Concrete Problems and the General Theory of Extremum
1085
Numerical Solution for Pseudomonotonc Variational Inequality Problems
1101
Regularity and Existence Results for Degenerate Elliptic Operators
1129
A New Proof of the Maximal Monotonicity of the Sum using the Fitzpatrick
1158
173
1173
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