English

$C^{1,\alpha}$ $h$-principle for von K\'arm\'an constraints

Analysis of PDEs 2017-04-04 v1

Abstract

Exploiting some connections between the system vv+2\nabla v\otimes\nabla v + 2 sym w=A\nabla w = A and the isometric immersion problem in two dimensions, we provide a simple construction of C1,αC^{1,\alpha} convex integration solutions for the former from the corresponding result for the latter.

Keywords

Cite

@article{arxiv.1704.00273,
  title  = {$C^{1,\alpha}$ $h$-principle for von K\'arm\'an constraints},
  author = {Peter Hornung and Jean-Paul Daniel},
  journal= {arXiv preprint arXiv:1704.00273},
  year   = {2017}
}