Regularity of the One-phase Free Boundaries

Regularity of the One-phase Free Boundaries

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This open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive res...

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Bibliographic Details
Main Author: Velichkov, Bozhidar (auth)
Format: Electronic Book Chapter
Language:English
Published: Cham Springer Nature 2023
Series:Lecture Notes of the Unione Matematica Italiana
Subjects:
Optimization
Calculus & mathematical analysis
Free Boundary Problems
Regularity
One-phase Problem
Bernoulli Free Boundary Problem
Alt-Caffarelli
Monotonicity Formulas
Epiperimetric Inequality
Partial Differential Equations
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