Minimal surfaces and functions of bounded variation. Notes by Graham H. Williams. (Notes on pure mathematics 10)

Enrico Giusti

ISBN 10: 0708112943 / ISBN 13: 9780708112946

Published by Dept. of Pure Mathematics, Australian National University, 1977

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Bibliographic Details

• Title: Minimal surfaces and functions of bounded variation. Notes by Graham H. Williams. (Notes on pure mathematics 10)
• Publisher: Dept. of Pure Mathematics, Australian National University
• Publication Date: 1977
• Language: English
• ISBN 10: 0708112943
• ISBN 13: 9780708112946
• Binding: Soft cover
• Condition: Very Good

About this title

Synopsis

Parametric Minimal Surfaces.- 1. Functions of Bounded Variation and Caccioppoli Sets.- 2. Traces of BV Functions.- 3. The Reduced Boundary.- 4. Regularity of the Reduced Boundary.- 5. Some Inequalities.- 6. Approximation of Minimal Sets (I).- 7. Approximation of Minimal Sets (II).- 8. Regularity of Minimal Surfaces.- 9. Minimal Cones.- 10. The First and Second Variation of the Area.- 11. The Dimension of the Singular Set.- Non-Parametric Minimal Surfaces.- 12. Classical Solutions of the Minimal Surface Equation.- 13. The a priori Estimate of the Gradient.- 14. Direct Methods.- 15. Boundary Regularity.- 16. A Further Extension of the Notion of Non-Parametric Minimal Surface.- 17. The Bernstein Problem.- Appendix A.- Appendix B.- Appendix C.