001452718 000__ 02582nam\a2200481\i\4500 001452718 001__ 1452718 001452718 003__ OCoLC 001452718 005__ 20230314003315.0 001452718 006__ m\\\\\o\\d\\\\\\\\ 001452718 007__ cr\un\nnnunnun 001452718 008__ 230228s2023\\\\sz\a\\\\ob\\\\001\0\eng\d 001452718 020__ $$a9783031132384$$q(electronic bk.) 001452718 020__ $$a3031132386$$q(electronic bk.) 001452718 020__ $$z9783031132377$$q(print) 001452718 0247_ $$a10.1007/978-3-031-13238-4$$2doi 001452718 035__ $$aSP(OCoLC)1371284444 001452718 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE 001452718 049__ $$aISEA 001452718 050_4 $$aQA379 001452718 08204 $$a515/.35$$223/eng/20230228 001452718 1001_ $$aVelichkov, Bozhidar,$$eauthor. 001452718 24510 $$aRegularity of the one-phase free boundaries /$$cBozhidar Velichkov. 001452718 264_1 $$aCham, Switzerland :$$bSpringer,$$c2023. 001452718 300__ $$a1 online resource (xiii, 247 pages) :$$billustrations. 001452718 336__ $$atext$$btxt$$2rdacontent 001452718 337__ $$acomputer$$bc$$2rdamedia 001452718 338__ $$aonline resource$$bcr$$2rdacarrier 001452718 4901_ $$aLecture notes of the Unione Matematica Italiana,$$x1862-9121 ;$$v28 001452718 504__ $$aIncludes bibliographical references and index. 001452718 5060_ $$aOpen access.$$5GW5XE 001452718 520__ $$aThis open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive research. The exposition is organized around four main theorems, which are dedicated to the one-phase functional in its simplest form. Many of the methods and the techniques presented here are very recent and were developed in the context of different free boundary problems. We also give the detailed proofs of several classical results, which are based on some universal ideas and are recurrent in the free boundary, PDE and the geometric regularity theories. This book is aimed at graduate students and researches and is accessible to anyone with a moderate level of knowledge of elliptical PDEs. 001452718 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 28, 2023). 001452718 650_0 $$aBoundary value problems. 001452718 650_0 $$aAnalytic functions. 001452718 650_0 $$aDifferential equations, Partial. 001452718 655_0 $$aElectronic books. 001452718 830_0 $$aLecture notes of the Unione Matematica Italiana ;$$v28.$$x1862-9121 001452718 852__ $$bebk 001452718 85640 $$3Springer Nature$$uhttps://link.springer.com/10.1007/978-3-031-13238-4$$zOnline Access$$91397441.2 001452718 909CO $$ooai:library.usi.edu:1452718$$pGLOBAL_SET 001452718 980__ $$aBIB 001452718 980__ $$aEBOOK 001452718 982__ $$aEbook 001452718 983__ $$aOnline 001452718 994__ $$a92$$bISE