Existence of entire solutions to the Monge-Ampre equation

Jian, Huaiyu; Wang, Xu-Jia

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Existence of entire solutions to the Monge-Ampre equation

Date

2014

Authors

Jian, Huaiyu

Wang, Xu-Jia

Publisher

Johns Hopkins University Press

Abstract

We prove the existence of infinitely many entire convex solutions to the Monge-Ampère equation det D2u = f in ℝn, assuming that the inhomogeneous term f ≥ 0 and is of polynomial growth at infinity. When f satisfies the doubling condition, we show tha

URI

http://hdl.handle.net/1885/74311

Collections

ANU Research Publications

Source

American Journal of Mathematics

Type

Journal article

DOI

10.1353/ajm.2014.0029

Restricted until

2037-12-31

Downloads

File

Description

01_Jian_Existence_of_entire_solutions_2014.pdf (382.92 KB)

Full item page

Cultural advice

Existence of entire solutions to the Monge-Ampre equation

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Keywords

Citation

URI

Collections

Source

Type

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

Downloads