Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator
Analysis of PDEs
2015-05-19 v1
Abstract
In this paper we deal with a Kirchhoff type problem driven by a fractional nonlocal integrodifferential operator and involving a critical nonlinearity. For this problem we prove the existence of infinitely many solutions, through a suitable truncation argument and exploiting the genus theory introduced by Krasnoselskii.
Cite
@article{arxiv.1505.04280,
title = {Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator},
author = {Alessio Fiscella},
journal= {arXiv preprint arXiv:1505.04280},
year = {2015}
}