{
  "id": "2310.17310",
  "version": "v1",
  "published": "2023-10-26T11:13:14.000Z",
  "updated": "2023-10-26T11:13:14.000Z",
  "title": "Global regularity for nonlinear systems with symmetric gradients",
  "authors": [
    "Linus Behn",
    "Lars Diening"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study global regularity of nonlinear systems of partial differential equations depending on the symmetric part of the gradient with Dirichlet boundary conditions. These systems arise from variational problems in plasticity with power growth. We cover the full range of exponents $p \\in (1,\\infty)$. As a novelty the degenerate case for $p>2$ is included. We present a unified approach for all exponents by showing the regularity for general systems of Orlicz growth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-26T11:13:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J57",
      "35B65",
      "74C05",
      "35J60",
      "35B65"
    ],
    "keywords": [
      "nonlinear systems",
      "symmetric gradients",
      "study global regularity",
      "partial differential equations",
      "dirichlet boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}