Electron. J. Diff. Equ., Vol. 2015 (2015), No. 40, pp. 1-8.

Existence of positive solutions for superlinear p-Laplacian equations

Ting-Mei Gao, Chun-Lei Tang

Abstract:
We obtain a positive solution for a superlinear p-Laplacian equations with the Dirichlet boundary-value conditions. Our main tool is a variation of the mountain pass theorem.

Submitted May 30, 2014. Published February 12, 2015.
Math Subject Classifications: 35J20, 35J92, 35J25, 35B09.
Key Words: Mountain pass theorem; positive solution; p-Laplacian equation; Dirichlet boundary condition.

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Ting-Mei Gao
School of Mathematics and Statistics
Southwest University
Chongqing 400715, China
email: gtmgtmgtm@126.com
Chun-Lei Tang
School of Mathematics and Statistics
Southwest University
Chongqing 400715, China
email: tangcl@swu.edu.cn, tangcl8888@sina.com

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