Sk-valued maps with singularities / H. Brezis -- Free boundary problems / L.A. Caffarelli -- Minimal foliations on a torus / J. Moser -- Variational methods in nonlinear problems / L. Nirenberg -- Variational theory for the total scalar curvature functional for Riemannian metrics and related topics
Calculus of variations and geometric evolution problems: lectures given at the 2nd session of the Centro Internazionale Matematico Estivo
β Scribed by F. Bethuel, G. Huisken, S. Mueller, K. Steffen, S. Hildebrandt, M. Struwe
- Book ID
- 127418593
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 4 MB
- Series
- Lecture notes in mathematics 1713
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN
- 3540659773
- ISSN
- 0075-8434
No coin nor oath required. For personal study only.
β¦ Synopsis
The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.
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The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematic
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