Gao-Sheng Liu, Liu-Tao Guo, Chun-Yu Lei
Abstract:
In this article, we study the existence and multiplicity of positive
solutions for a class of Kirchhoff type problems involving changing-sign
potential and critical growth terms. Using the concentration
compactness principle and Nehari manifold, we obtain the existence
and multiplicity of nonzero non-negative solutions.
Submitted June 8, 2016. Published August 24, 2016.
Math Subject Classifications: 35D05, 35J60, 58J32.
Key Words: Kirchhoff type equation; critical exponents; changing-sign potential;
Nehari manifold.
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Gao-Sheng Liu Shanghai University of Finance and Economics Shanghai 200433, China email: 772936104@qq.com |
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Liu-Tao Guo Guizhou Minzu University Guiyang 550025, China email: 350630542@qq.com |
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Chun-Yu Lei School of Science Guizhou Minzu University Guiyang 550025, China email: leichygzu@sina.cn |
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