[PDF.03yr] The Monge-Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications)

The Monge-Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications)

[PDF.lj92] The Monge-Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications)

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 | #5300995 in Books |  2016-10-26 | Original language:English | PDF # 1 |  9.21 x.56 x6.14l,.0 | File type: PDF | 216 pages

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|| |“Very clear monograph that will be useful in stimulating new researches on the Monge-Ampère equation, its connections with several research areas and its applications.” (Vincenzo Vespri, zbMATH 1356.35004, 2017)||

Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications.  It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli.  The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas and set decompositions.  An effort is made to present ...

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