Qi-Lin Xie, Xing-Ping Wu, Chun-Lei Tang
Abstract:
In this article, we prove the existence of solutions for Kirchhoff type
equations with Dirichlet boundary-value condition. We use the Mountain
Pass Theorem in critical point theory, without the (PS) condition.
Submitted August 13, 2014. Published February 17, 2015.
Math Subject Classifications: 35J60, 47J30, 35J20.
Key Words: Kirchhoff type equation; Dirichlet problem;
critical point; Mountain Pass Theorem.
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Qi-Lin Xie School of Mathematics and Statistics Southwest University Chongqing 400715, China email: xieqilinsxdt@163.com |
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Xing-Ping Wu School of Mathematics and Statistics Southwest University Chongqing 400715, China email: wuxp@swu.edu.cn |
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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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