English

$C^1$ regularity of orthotropic $p-$harmonic functions in the plane

Analysis of PDEs 2018-03-16 v1 Optimization and Control
Authors: Pierre Bousquet , Lorenzo Brasco
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Abstract

We prove that local weak solutions of the orthotropic p−p-harmonic equation in R2\mathbb{R}^2 are C1C^1 functions.

Keywords

orthotropic p-harmonic equation c1 regularity weak solutions partial differential equations regularity plane

Cite

@article{arxiv.1607.05116,
  title  = {$C^1$ regularity of orthotropic $p-$harmonic functions in the plane},
  author = {Pierre Bousquet and Lorenzo Brasco},
  journal= {arXiv preprint arXiv:1607.05116},
  year   = {2018}
}

Comments

42 pages

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