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Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity.

Authors :
Lei, Chun-Yu
Liu, Gao-Sheng
Guo, Liu-Tao
Source :
Nonlinear Analysis: Real World Applications. Oct2016, Vol. 31, p343-355. 13p.
Publication Year :
2016

Abstract

In this paper, we study the multiplicity results of positive solutions for a Kirchhoff type problem with critical growth, with the help of the concentration compactness principle, and we prove that problem admits two positive solutions, and one of the solutions is a positive ground state solution. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14681218
Volume :
31
Database :
Academic Search Index
Journal :
Nonlinear Analysis: Real World Applications
Publication Type :
Academic Journal
Accession number :
114905685
Full Text :
https://doi.org/10.1016/j.nonrwa.2016.01.018