Variational Analysis and Applications

1. Front Matter

   Pages i-xii

   PDF

2. Part 1

   1. Front Matter

      Pages 1-1

      PDF

   2. The Work of G. Stampacchia in Variational Inequalities

      • J. -L. Lions

      Pages 3-30

   3. In Memory of Guido Stampacchia

      • M. G. Garroni

      Pages 31-32

   4. The Collaboration between Guido Stampacchia and Jacques-Louis Lions on Variational Inequalities

      • E. Magenes

      Pages 33-38

   5. In Memory of Guido Stampacchia

      • O. G. Mancino

      Pages 39-46

   6. Guido Stampacchia

      • Silvia Mazzone

      Pages 47-77

   7. Memories of Guido Stampacchia

      • L. Nirenberg

      Pages 79-80

   8. In Memory of Guido Stampacchia

      • C. Sbordone

      Pages 81-82

   9. Guido Stampacchia, My Father

      • G. Stampacchia

      Pages 83-86

3. Part 2

   1. Front Matter

      Pages 87-87

      PDF

   2. Convergence and Stability of a Regularization Method for Maximal Monotone Inclusions and Its Applications to Convex Optimization

      • Ya. I. Alber, D. Butnariu, G. Kassay

      Pages 89-132

   3. Partitionable Mixed Variational Inequalities

      • E. Allevi, A. Gnudi, I. V. Konnov, E. O. Mazurkevich

      Pages 133-146

   4. Irreducibility of the Transition Semigroup Associated with the Two Phase Stefan Problem

      • Viorel Barbu, Giuseppe Da Prato

      Pages 147-159

   5. On Some Boundary Value Problems for Flows with Shear Dependent Viscosity

      • H. Beirão da Veiga

      Pages 161-172

   6. Homogenization of Systems of Partial Differential Equations

      • A. Bensoussan

      Pages 173-193

   7. About the Duality Gap in Vector Optimization

      • G. Bigi, M. Pappalardo

      Pages 195-204

   8. Separation of Convex Cones and Extremal Problems

      • V. Boltyanski

      Pages 205-213

   9. Infinitely Many Solutions for the Dirichlet Problem Via a Variational Principle of Ricceri

      • F. Cammaroto, A. Chinnì, B. Di Bella

      Pages 215-229

   10. A Density Result on the Space VMO _ω

       • A. O. Caruso, M. S. Fanciullo

       Pages 231-237

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.

• Boundary value problem
• Calculus of Variations
• Sobolev space
• Vector optimization
• analysis
• linear optimization
• optimization
• ordinary differential equations

• University of Pisa, Italy

  Franco Giannessi

• University of Catania, Italy

  Antonino Maugeri

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