Research Catalog

Title

Calculus of variations and partial differential equations : topics on geometrical evolution problems and degree theory / L. Ambrosio, N. Dancer ; edited by G. Buttazzo, A. Marino, M.K.V. Murthy.

Author

Ambrosio, Luigi

Publication

Berlin ; New York : Springer, c2000.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Dancer, E. N. (Edward Norman), 1946-
• Buttazzo, Giuseppe.
• Marino, A.
• Murthy, M. K. V. (M. K. Venkatesha)
• Summer School on "Calculus of Variations and Partial Differential Equations" (1996 : Pisa, Italy)

Description

viii, 347 p. : ill.; 24 cm.

Summary

The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.

Subject

• Calculus of variations
• Topological degree
• Differential equations, Partial
• Mathematical physics
• Mathematics
• Systems theory
• Mathematical optimization

Genre/Form

Pisa (1996)

Note

• "The project of editing this book originated in a two-weeek Summer School on "Calculus of Variations and Partial Differential Equations" which was held in Pisa in September 1996"--Preface.

Bibliography (note)

• Includes bibliographical references (p. 327-343) and index.

Processing Action (note)

• committed to retain

Contents

I. Geometric Evolution Problems -- Geometric evolution problems, distance function and viscosity solutions / L. Ambrosio -- Variational models for phase transitions, an approach via [Gamma]-convergence / G. Alberti -- Some aspects of De Giorgi's barriers for geometric evolutions / G. Bellettini and M. Novaga -- Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth / A. Leaci -- Free discontinuity problems and their non-local approximation / A. Braides -- II. Degree Theory on Convex Sets and Applications to Bifurcation -- Degree theory on convex sets and applications to bifurcation / E. N. Dancer -- Nonlinear elliptic equations involving critical Sobolev exponents / D. Passaseo -- On the existence and multiplicity of positive solutions for semilinear mixed and Neumann elliptic problems / G. Cerami -- Solitons and Relativistic Dynamics / V. Benci and D. Fortunato -- An Algebraic approach to nonstandard analysis / V. Benci.

ISBN

3540648038 (softcover : alk. paper)

LCCN

^^^98054672^

OCLC

• 40559734
• SCSB-9937681

Owning Institutions

Harvard Library