English

Cauchy integrals for the p-Laplace equation in planar Lipschitz domains

Analysis of PDEs 2014-02-28 v2

Abstract

We construct solutions to p-Laplace type equations in unbounded Lipschitz domains in the plane with prescribed boundary data in appropriate fractional Sobolev spaces. Our approach builds on a Cauchy integral representation formula for solutions.

Keywords

Cite

@article{arxiv.1305.6152,
  title  = {Cauchy integrals for the p-Laplace equation in planar Lipschitz domains},
  author = {Kaj Nyström and Andreas Rosén},
  journal= {arXiv preprint arXiv:1305.6152},
  year   = {2014}
}

Comments

Error in proof corrected