Electron. J. Diff. Equ., Vol. 2014 (2014), No. 135, pp. 1-9.

Existence of positive solutions to a singular boundary-value problem using variational methods

Jian Liu, Zengqin Zhao

Abstract:
In this article, we study a class of nonlinear singular boundary-value problems. We show the existence of positive weak solutions by using variational methods.

Submitted December 2, 2013. Published June 10, 2014.
Math Subject Classifications: 34B15, 35B38.
Key Words: Variational method; singular; mountain pass theorem

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Jian Liu
School of Mathematics and Quantitative Economics
Shandong University of Finance and Economics
Jinan, Shandong 250014, China
email: liujianmath@163.com
Zengqin Zhao
School of Mathematical Sciences, Qufu Normal University
Qufu, Shandong 273165, China
email: zqzhao@mail.qfnu.edu.cn

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