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- Publisher
- Springer Journals
- Copyright
- Copyright © Springer Science+Business Media, LLC, part of Springer Nature 2019
- ISSN
- 1079-2724
- eISSN
- 1573-8698
- DOI
- 10.1007/s10883-019-09456-3
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we deal with the multiplicity results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity in ℝN\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$\mathbb {R}^{N}$\end{document}. By using the second concentration-compactness principle and concentration-compactness principle at infinity to prove that the (PS)c condition holds locally and together with the new version of symmetric mountain pass theorem of Kajikiya, we prove that the problem admits infinitely many solutions under suitable conditions.
Journal
Journal of Dynamical and Control Systems – Springer Journals
Published: Jul 7, 2020