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Regularity theory for quasilinear elliptic systems and Monge—Ampère equations in two dimensions

These 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 c...

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Autor principal: Schulz, Friedmar
Lenguaje:eng
Publicado: Springer 1990
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0098277
http://cds.cern.ch/record/1691475
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author Schulz, Friedmar
author_facet Schulz, Friedmar
author_sort Schulz, Friedmar
collection CERN
description These 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.
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spelling cern-16914752021-04-21T21:09:39Zdoi:10.1007/BFb0098277http://cds.cern.ch/record/1691475engSchulz, FriedmarRegularity theory for quasilinear elliptic systems and Monge—Ampère equations in two dimensionsMathematical Physics and MathematicsThese 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.Springeroai:cds.cern.ch:16914751990
spellingShingle Mathematical Physics and Mathematics
Schulz, Friedmar
Regularity theory for quasilinear elliptic systems and Monge—Ampère equations in two dimensions
title Regularity theory for quasilinear elliptic systems and Monge—Ampère equations in two dimensions
title_full Regularity theory for quasilinear elliptic systems and Monge—Ampère equations in two dimensions
title_fullStr Regularity theory for quasilinear elliptic systems and Monge—Ampère equations in two dimensions
title_full_unstemmed Regularity theory for quasilinear elliptic systems and Monge—Ampère equations in two dimensions
title_short Regularity theory for quasilinear elliptic systems and Monge—Ampère equations in two dimensions
title_sort regularity theory for quasilinear elliptic systems and monge—ampère equations in two dimensions
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0098277
http://cds.cern.ch/record/1691475
work_keys_str_mv AT schulzfriedmar regularitytheoryforquasilinearellipticsystemsandmongeampereequationsintwodimensions