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020 _a9783540466789
_9978-3-540-46678-9
024 7 _a10.1007/BFb0098277
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
072 7 _aPBMP
_2thema
082 0 4 _a516.36
_223
100 1 _aSchulz, Friedmar.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aRegularity Theory for Quasilinear Elliptic Systems and Monge—Ampère Equations in Two Dimensions
_h[electronic resource] /
_cby Friedmar Schulz.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1990.
300 _aXVIII, 130 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1445
505 0 _aIntegral criteria for Hölder continuity -- Regularity for linear elliptic equations and quasilinear systems -- Regularity for Monge—Ampère equations -- Function theory of elliptic equations -- Univalent solutions of binary elliptic systems -- Conformal mappings with respect to a Riemannian metric -- Local behavior of solutions of differential inequalities -- Univalent solutions of Heinz-Lewy type systems -- A priori estimates for Monge—Ampère equations -- Regularity and a priori estimates for locally convex surfaces.
520 _aThese lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampère equations, a theory largely developed by H. Lewy and E. Heinz which has never been presented in book form. An exposition of the Heinz-Lewy theory requires auxiliary material which can be found in various monographs, but which is presented here, in part because the focus is different, and also because these notes have an introductory character. Self-contained introductions to the regularity theory of elliptic systems, the theory of pseudoanalytic functions and the theory of conformal mappings are included. These notes grew out of a seminar given at the University of Kentucky in the fall of 1988 and are intended for graduate students and researchers interested in this area.
650 0 _aGlobal differential geometry.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662188026
776 0 8 _iPrinted edition:
_z9783540531036
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1445
856 4 0 _uhttps://doi.org/10.1007/BFb0098277
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c12362
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