TY  - BOOK
AU  - Velichkov,Bozhidar
ED  - SpringerLink (Online service)
TI  - Regularity of the One-phase Free Boundaries
T2  - Lecture Notes of the Unione Matematica Italiana,
SN  - 9783031132384
AV  - QA402.5-402.6 
U1  - 519.6 23
PY  - 2023///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematical optimization
KW  - Calculus of variations
KW  - Differential equations
KW  - Calculus of Variations and Optimization
KW  - Differential Equations
N1  - Open Access
N2  - 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 research. The exposition is organized around four main theorems, which are dedicated to the one-phase functional in its simplest form. Many of the methods and the techniques presented here are very recent and were developed in the context of different free boundary problems. We also give the detailed proofs of several classical results, which are based on some universal ideas and are recurrent in the free boundary, PDE and the geometric regularity theories. This book is aimed at graduate students and researches and is accessible to anyone with a moderate level of knowledge of elliptical PDEs
UR  - https://doi.org/10.1007/978-3-031-13238-4
ER  -