REVISITING THE C1,α h-PRINCIPLE FOR THE MONGE–AMPÈRE EQUATION
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We provide a simple proof of a C1,α h-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.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 1763-1774 |
| Number of pages | 12 |
| Journal | Analysis and PDE |
| Volume | 15 |
| Issue number | 7 |
| Publication status | Published - 2022 |
| Peer-reviewed | Yes |
Keywords
ASJC Scopus subject areas
Keywords
- Convex integration, H-principle, Isometric embeddings, Monge–ampère, Nonlinear elasticity., Von kármán