Qin Li, Zuodong Yang, Zhaosheng Feng
Abstract:
In this article, we explore the existence of multiple solutions
for a p-Kirchhoff equation with the nonlinearity containing both
singular and critical terms. By means of the concentration compactness
principle and Ekeland's variational principle, we obtain two positive
weak solutions.
Submitted January 6, 2016. Published March 27, 2017.
Math Subject Classifications: 35J60, 35B09, 35J91.
Key Words: Weak solution; p-Kirchhoff equation; p-Laplacian;
quasilinear elliptic equation; variational principle;
concentration compactness principle.
Show me the PDF file (240 KB), TEX file for this article.
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Qin Li School of Statistics and Applied Mathematics Anhui University of Finance and Economics Bengbu, Anhui 233030, China email: 294973245@qq.com |
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Zuodong Yang School of Teacher Education Nanjing Normal University Nanjing, Jiangsu 210097, China email: yangzuodong@njnu.edu.cn |
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Zhaosheng Feng Department of Mathematics University of Texas-Rio Grande Valley Edinburg, TX 78539, USA email: zhaosheng.feng@utrgv.edu |
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