An interior second derivative bound for solutions of Hessian equations

Urbas, John

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.

An interior second derivative bound for solutions of Hessian equations

Date

2001

Authors

Urbas, John

Publisher

Springer

Abstract

In previous work we showed that weak solutions in W2,p(Ω) of the k-Hessian equation Fk[u] = g(cursive chi) have locally bounded second derivatives if g is positive and sufficiently smooth and p > kn/2. Here we improve this result to p > k(n - 1)/2, which

URI

http://hdl.handle.net/1885/93326

Collections

ANU Research Publications

Source

Calculus of Variations and Partial Differential Equations

Type

Journal article

Restricted until

2037-12-31

Downloads

File

Description

01_Urbas_An_interior_second_derivative_2001.pdf (135.25 KB)

Full item page

Cultural advice

An interior second derivative bound for solutions of Hessian equations

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