Free Shipping on Order Over $80
AfterPay Available
The Monge-Ampere Equation

The Monge-Ampere Equation

by Cristian E. Gutierrez
Publication Date: 16/06/2018
or 4 easy payments of $41.37 with
This item qualifies for FREE delivery
Now in its second edition, this monograph explores the Monge-Ampere 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 complete proofs of all theorems, and examples and exercises are offered to further illustrate important concepts. Some of the topics considered include generalized solutions, non-divergence equations, cross sections, and convex solutions. New to this edition is a chapter on the linearized Monge-Ampere equation and a chapter on interior Hoelder estimates for second derivatives. Bibliographic notes, updated and expanded from the first edition, are included at the end of every chapter for further reading on Monge-Ampere-type equations and their diverse applications in the areas of differential geometry, the calculus of variations, optimization problems, optimal mass transport, and geometric optics. Both researchers and graduate students working on nonlinear differential equations and their applications will find this to be a useful and concise resource.
Differential calculus & equations
Publication Date:
Birkhauser Verlag AG
Country of origin:
2nd Edition
Dimensions (mm):

This title is in stock with our Australian supplier and arrives at our Sydney warehouse within 10-15 working days of you placing an order.

Once received into our warehouse we will despatch it to you with a Shipping Notification which includes online tracking.

Please check the estimated delivery times below for your region, for after your order is despatched from our warehouse:

ACT Metro  2 working days

NSW Metro  2 working days

NSW Rural  2 - 3 working days

NSW Remote  2 - 5 working days

NT Metro  3 - 6 working days

NT Remote  4 - 10 working days

QLD Metro  2 - 4 working days

QLD Rural  2 - 5 working days

QLD Remote  2 - 7 working days

SA Metro  2 - 5 working days

SA Rural  3 - 6 working days

SA Remote  3 - 7 working days

TAS Metro  3 - 6 working days

TAS Rural  3 - 6 working days

VIC Metro  2 - 3 working days

VIC Rural  2 - 4 working days

VIC Remote  2 - 5 working days

WA Metro  3 - 6 working days

WA Rural  4 - 8 working days

WA Remote  4 - 12 working days

Customer Reviews

Be the first to review The Monge-Ampere Equation.