Revisiting the \(C^{1, \alpha} h\)-principle for the Monge-Ampère equation
type: Item
instance of: scholarly article
title: Revisiting the \(C^{1, \alpha} h\)-principle for the Monge-Ampère equation
zbMATH Open document ID: 1505.35233
author: Jean-Paul Daniel
author: Peter Hornung
published in: Analysis \& PDE
publication date: 2022-12-14T00:00:00Z
Mathematics Subject Classification ID: 35J96
Mathematics Subject Classification ID: 76B03
zbMATH DE Number: 7632776
zbMATH Keywords: Monge-Ampère equation
zbMATH Keywords: \(h\)-principle
MaRDI profile type: Publication
full work available at URL: apde.2022.15.1763
OpenAlex ID: W4311176418
cites work: Very weak solutions to the two-dimensional Monge-Ampére equation
cites work: Q3992497
cites work: Rigidity and gamma convergence for solid‐solid phase transitions with SO(2) invariance
cites work: h-Principle and Rigidity for C 1,α Isometric Embeddings
cites work: A Nash-Kuiper theorem for \(C^{1,\frac{1}{5}-\delta}\) immersions of surfaces in 3 dimensions
cites work: A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
cites work: A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Q3229047
cites work: Convex integration for the Monge-Ampère equation in two dimensions
cites work: \(C^1\) isometric imbeddings
DOI: 10.2140/APDE.2022.15.1763
description: scientific article; zbMATH DE number 7632776