|
|||||
 |
|
|
|
|
|
|
|
Revisiting the
$C^{1,\alpha}$ $h$-principle for the Monge–Ampère
equation
Jean-Paul Daniel and Peter Hornung |
|
Vol. 15 (2022), No. 7, 1763–1774
|
Abstract |
|
We provide a simple proof of a -principle for the Monge–Ampère equation in two dimensions. Our proof only makes use of the available constructions for isometric immersions and deduces the desired results for the Monge–Ampère equation by exploiting the connections between this equation and the isometric immersion system. |
PDF Access Denied
We have not been able to recognize your IP address
3.141.24.134
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
$h$-principle, convex integration, isometric embeddings,
Monge–Ampère, von Kármán, nonlinear elasticity
|
Mathematical Subject Classification
Primary: 35J96, 76B03
|
Milestones
Received: 9 May 2020
Revised: 7 September 2020
Accepted: 16 March 2021
Published: 5 December 2022
|
Authors |
| Jean-Paul Daniel | |
| Fakultät Mathematik TU Dresden Dresden Germany |
|
| Peter Hornung | |
| Fakultät Mathematik TU Dresden Dresden Germany |
|
