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

2014/04/29 by Jinguo Zhang, Zhang, Jinguo
Mathematics · #35J60 #47J30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J60 #msc:47J30

paper · pdf · doi:10.48550/arxiv.1404.7361

14pages

arxiv created 2014/04/29 · arxiv updated 2014/04/30

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.

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