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On a Paneitz Type Equation in Six Dimensional Domains

Analysis of PDEs 2007-05-23 v3

Abstract

In this paper we consider a fourth order equation involving the critical Sobolev exponent on a bounded and smooth domain in R6\R^6. Using theory of critical points at infinity, we give some topological conditions on a given function defined on a domain to ensure some existence results.

Keywords

Cite

@article{arxiv.math/0306132,
  title  = {On a Paneitz Type Equation in Six Dimensional Domains},
  author = {Hichem Chtioui and Khalil El Mehdi},
  journal= {arXiv preprint arXiv:math/0306132},
  year   = {2007}
}

Comments

14 pages