Three solutions for a fractional elliptic problems with critical and supercritical growth

Jinguo Zhang

Three solutions for a fractional elliptic problems with critical and supercritical growth

Analysis of PDEs 2014-04-30 v1

Authors: Jinguo Zhang

Abstract

In this paper, we deal with the existence and multiplicity of solutions for the fractional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we prove that the problems has at least three solutions.

Keywords

fractional elliptic problems critical growth supercritical growth Sobolev exponent variational arguments Moser iteration multiplicity of solutions

Cite

@article{arxiv.1404.7361,
  title  = {Three solutions for a fractional elliptic problems with critical and supercritical growth},
  author = {Jinguo Zhang},
  journal= {arXiv preprint arXiv:1404.7361},
  year   = {2014}
}

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14pages

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