Convex Solutions of detD2u = 1 in ℝ n

Gutiérrez, Cristian E.

doi:10.1007/978-1-4612-0195-3_4

Cristian E. Gutiérrez⁴

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 44))

547 Accesses

Abstract

We begin with an important and useful lemma due to Pogorelov.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 69.99; Price excludes VAT (USA)

Softcover Book: USD 89.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Department of Mathematics, Temple University, Philadelphia, PA, 19122, USA
Cristian E. Gutiérrez

Authors

Cristian E. Gutiérrez
View author publications
You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Gutiérrez, C.E. (2001). Convex Solutions of detD²u = 1 in ℝⁿ. In: The Monge—Ampère Equation. Progress in Nonlinear Differential Equations and Their Applications, vol 44. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0195-3_4

Download citation

DOI: https://doi.org/10.1007/978-1-4612-0195-3_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6656-3
Online ISBN: 978-1-4612-0195-3
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Convex Solutions of detD2u = 1 in ℝn