Lower $Q$-Homeomorphisms With Respect To $P$-Modulus And Orlicz-Sobolev Classes

R. Salimov

Lower $Q$-Homeomorphisms With Respect To $P$-Modulus And Orlicz-Sobolev Classes

Complex Variables 2013-03-04 v4

Authors: R. Salimov

Abstract

We show that under a condition of the Calderon type on $\varphi$ the homeomorphisms $f$ with finite distortion in $W^{1,\varphi}_{\rm loc}$ and, in particular, $f\in W^{1,s}_{\rm loc}$ for $s>n-1$ are the so-called lower $Q$ -homeomorphisms with respect to $p$ -modulus where $Q(x)$ is equal to its outer $p$ -dilatation $K_{p,f}(x)$ .

Keywords

lower Q-homeomorphism p-modulus Orlicz-Sobolev classes finite distortion outer p-dilatation

Cite

@article{arxiv.1302.5840,
  title  = {Lower $Q$-Homeomorphisms With Respect To $P$-Modulus And Orlicz-Sobolev Classes},
  author = {R. Salimov},
  journal= {arXiv preprint arXiv:1302.5840},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1012.5010

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