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010   $a3-031-13238-6
024 7 $a10.1007/978-3-031-13238-4
035   $a(CKB)5670000000616888
035   $a(MiAaPQ)EBC7206912
035   $a(Au-PeEL)EBL7206912
035   $a(DE-He213)978-3-031-13238-4
035   $a(PPN)268205213
035   $a(OCoLC)1371284444
035   $a(ODN)ODN0010073056
035   $a(oapen)doab98509
035   $a(EXLCZ)995670000000616888
100   $a20230224d2023      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aRegularity of the One-phase Free Boundaries /$fby Bozhidar Velichkov
205   $a1st ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023.
215   $a1 online resource (249 pages)
225 1 $aLecture Notes of the Unione Matematica Italiana,$x1862-9121 ;$v28
311 08$a3-031-13237-8 
330   $aThis open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive research. The exposition is organized around four main theorems, which are dedicated to the one-phase functional in its simplest form. Many of the methods and the techniques presented here are very recent and were developed in the context of different free boundary problems. We also give the detailed proofs of several classical results, which are based on some universal ideas and are recurrent in the free boundary, PDE and the geometric regularity theories. This book is aimed at graduate students and researches and is accessible to anyone with a moderate level of knowledge of elliptical PDEs.
410  0$aLecture Notes of the Unione Matematica Italiana,$x1862-9121 ;$v28
606   $aMathematical optimization
606   $aCalculus of variations
606   $aDifferential equations
606   $aCalculus of Variations and Optimization
606   $aDifferential Equations
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615  0$aDifferential equations.
615 14$aCalculus of Variations and Optimization.
615 24$aDifferential Equations.
676   $a519.6
676   $a515.64
686   $aMAT003000$aMAT034000$2bisacsh
700   $aVelichkov$b Bozhidar$0755729
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910669809303321
996   $aRegularity of the One-Phase Free Boundaries$93057048
997   $aUNINA