On strongly indefinite systems involving the fractional Laplacian

Woocheol Choi

On strongly indefinite systems involving the fractional Laplacian

Analysis of PDEs 2014-05-21 v4

Authors: Woocheol Choi

Abstract

In this paper we study strongly indefinite systems involving the fractional Laplacian on bounded domains. We obtain existence and non-existence results, $a priori$ estimates of Gidas-Spruck type, and the symmetric property.

Keywords

fractional Laplacian strongly indefinite systems existence results non-existence results a priori estimates Gidas-Spruck type symmetric property

Cite

@article{arxiv.1302.6374,
  title  = {On strongly indefinite systems involving the fractional Laplacian},
  author = {Woocheol Choi},
  journal= {arXiv preprint arXiv:1302.6374},
  year   = {2014}
}

Comments

23 pages. The previous version had been written for the square root of Laplacian. We revised it with generalizsing the results for $(-Delta)_s$, $0<s<1$ in this version

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