Calculus of Variations and Differential Equations: 1st Edition (Paperback) book cover

Calculus of Variations and Differential Equations

1st Edition

By Alexander Ioffe, Simeon Reich, I Shafrir

Chapman and Hall/CRC

272 pages

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Paperback: 9780849306051
pub: 1999-07-15
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The calculus of variations is a classical area of mathematical analysis-300 years old-yet its myriad applications in science and technology continue to hold great interest and keep it an active area of research. These two volumes contain the refereed proceedings of the international conference on Calculus of Variations and Related Topics held at the Technion-Israel Institute of Technology in March 1998. The conference commemorated 300 years of work in the field and brought together many of its leading experts.

The papers in the first volume focus on critical point theory and differential equations. The other volume deals with variational aspects of optimal control. Together they provide a unique opportunity to review the state-of-the-art of the calculus of variations, as presented by an international panel of masters in the field.

Table of Contents

Calculus of Variations and Differential Equations-

On the Existence of the Impossible Pilot Wave, V. Benci

Multiply Connected Mesoscopic Superconducting Structures, J. Berge, J. Rubinstein, and M. Schatzman

The Role of Monotonicity in some Shape Optimization Problems, G. Buttazzo and P. Trebeschi

A Weak Notion of Convergence in Capacity with Applications to Thin Obstacle Problems, J. Casado-Diaz and G. Dal Maso

On Critical Point Theory with the (P S)* Condition, J.N. Corvellec

On e-Monotonicity and e-Convexity, T.L. Dinh, V.M. Huynh, and M. Thera

Approximations of One-Sided Lipschitz Differential Inclusions with Discontinuous Right-Hand Sides, T. Donchev and E. Farkhi

Nonlinear Optimization: On the Min-Max Digraph and Global Smoothing, H.Th. Jongen and A. Ruiz Jhones

On Radially Symmetric Minimizers of Second Order Two-Dimensional Variational Problems, A. Leizarowitz and M. Marcus

Some , Theorems and Partial Differential Equations, A. Marino and C. Saccon

Bounded and Almost Periodic Solutions of Nonlinear Differential Equations: Variational vs. Non-Variational Approach, J. Mawhin

New Developments Concerning the Lavrentiev Phenomenon, V.J. Mizel

Positive Solutions for Elliptic Equations with Critical Growth in Unbounded Domains, M. Ramos, Z.Q. Wang, and M. Willem

On the Minimization of Convex Functionals, S. Reich and A. Zaslavski

Semilinear Elliptic Problems on Unbounded Domains, I. Schindler and K. Tintarev

On the Ginzburg-Landau Equation with Magnetic Field, S. Serfaty

Techniques for Maximal Monotonicity, S. Simons

Fast-Slow Dynamics and Relaxing Evolution Equations, M. Slemrod

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Differential Equations