000 | 03159nam a22004815i 4500 | ||
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001 | 978-3-540-46678-9 | ||
003 | DE-He213 | ||
005 | 20190213151928.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1990 gw | s |||| 0|eng d | ||
020 |
_a9783540466789 _9978-3-540-46678-9 |
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024 | 7 |
_a10.1007/BFb0098277 _2doi |
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072 | 7 |
_aPBMP _2bicssc |
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_aMAT012030 _2bisacsh |
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_aPBMP _2thema |
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082 | 0 | 4 |
_a516.36 _223 |
100 | 1 |
_aSchulz, Friedmar. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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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. |
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300 |
_aXVIII, 130 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1445 |
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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 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0098277 |
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912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
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