Regularity of the One-phase Free Boundaries
Series: Lecture Notes of the Unione Matematica Italiana; 28;
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Product details:
- Edition number 1st ed. 2023
- Publisher Springer
- Date of Publication 25 February 2023
- Number of Volumes 1 pieces, Book
- ISBN 9783031132377
- Binding Paperback
- No. of pages247 pages
- Size 235x155 mm
- Weight 409 g
- Language English
- Illustrations 1 Illustrations, black & white 490
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Table of Contents:
- 1. Introduction and Main Results. - 2. Existence of Solutions, Qualitative Properties and Examples. - 3. Lipschitz Continuity of the Minimizers. - 4. Non-degeneracy of the Local Minimizers. - 5. Measure and Dimension of the Free Boundary. - 6. Blow-Up Sequences and Blow-Up Limits. - 7. Improvement of Flatness. - 8. Regularity of the Flat Free Boundaries. - 9. The Weiss Monotonicity Formula and Its Consequences. - 10. Dimension of the Singular Set. - 11. Regularity of the Free Boundary for Measure Constrained Minimizers. - 12. An Epiperimetric Inequality Approach to the Regularity of the One-Phase Free Boundaries.
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