English

Weighted generalized Korn inequality on John domains

Analysis of PDEs 2016-12-15 v1

Abstract

The goal of this work is to show that the generalized Korn inequality that replaces the symmetric part of the differential matrix in the classical Korn inequality by its trace-free part is valid over John domains and weighted Sobolev spaces. The weights considered are nonnegative powers of the distance to the boundary.

Keywords

Cite

@article{arxiv.1612.04449,
  title  = {Weighted generalized Korn inequality on John domains},
  author = {Fernando López García},
  journal= {arXiv preprint arXiv:1612.04449},
  year   = {2016}
}

Comments

17 pages

R2 v1 2026-06-22T17:23:02.138Z