Area Minimizing Integral Currents With Boundaries Invariant Under Polar Actions
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Geometric Measure Theory and the Calculus of Variations
Author | : William K. Allard |
Publisher | : American Mathematical Soc. |
Total Pages | : 482 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 0821814702 |
Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.
Abstracts of Papers Presented to the American Mathematical Society
Author | : American Mathematical Society |
Publisher | : |
Total Pages | : 576 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : |
Geometric Integration Theory
Author | : Steven G. Krantz |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2008-12-15 |
Genre | : Mathematics |
ISBN | : 0817646795 |
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
On the Boundary Behavior of Mass-minimizing Integral Currents
Author | : Camillo De Lellis |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : |
ISBN | : 9781470476793 |
Notices of the American Mathematical Society
Author | : American Mathematical Society |
Publisher | : |
Total Pages | : |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : |