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020 _a9783037196700
024 7 0 _a10.4171/170
_2doi
040 _ach0018173
072 7 _aPBKJ
_2bicssc
072 7 _aPBMP
_2bicssc
084 _a35-xx
_a53-xx
_2msc
100 1 _aFigalli, Alessio,
_eauthor.
245 1 0 _aThe Monge-Ampère Equation and Its Applications
_h[electronic resource] /
_cAlessio Figalli
260 3 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2017
264 1 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2017
300 _a1 online resource (210 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aZurich Lectures in Advanced Mathematics (ZLAM)
506 1 _aRestricted to subscribers:
_uhttp://www.ems-ph.org/ebooks.php
520 _aThe Monge-Ampère equation is one of the most important partial differential equations, appearing in many problems in analysis and geometry. This monograph is a comprehensive introduction to the existence and regularity theory of the Monge-Ampère equation and some selected applications; the main goal is to provide the reader with a wealth of results and techniques he or she can draw from to understand current research related to this beautiful equation. The presentation is essentially self-contained, with an appendix wherein one can find precise statements of all the results used from different areas (linear algebra, convex geometry, measure theory, nonlinear analysis, and PDEs). This book is intended for graduate students and researchers interested in nonlinear PDEs: explanatory figures, detailed proofs, and heuristic arguments make this book suitable for self-study and also as a reference.
650 0 7 _aDifferential equations
_2bicssc
650 0 7 _aDifferential & Riemannian geometry
_2bicssc
650 0 7 _aPartial differential equations
_2msc
650 0 7 _aDifferential geometry
_2msc
700 1 _aFigalli, Alessio,
_eauthor.
856 4 0 _uhttps://doi.org/10.4171/170
856 4 2 _3cover image
_uhttp://www.ems-ph.org/img/books/figalli_mini.jpg
942 _2EBK13881
_cEBK
999 _c50505
_d50505