Electron. J. Diff. Equ., Vol. 2013 (2013), No. 276, pp. 1-10.

Existence of nontrivial solutions for a class of elliptic systems

Chun Li, Zeng-Qi Ou, Chun-Lei Tang

Abstract:
Using a version of the generalized mountain pass theorem, we obtain the existence of nontrivial solutions for a class of superquadratic elliptic systems.

Submitted January 28, 2013. Published December 23, 2013.
Math Subject Classifications: 35J50, 35A15, 35B38.
Key Words: Elliptic systems; generalized mountain pass theorem; critical point.

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Chun Li
School of Mathematics and Statistics
Southwest University, Chongqing 400715, China
email: Lch1999@swu.edu.cn
Zeng-Qi Ou
School of Mathematics and Statistics
Southwest University, Chongqing 400715, China
email: ouzengq707@sina.com
Chun-Lei Tang
School of Mathematics and Statistics
Southwest University, Chongqing 400715, China
email: tangcl@swu.edu.cn

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