Kaimin Teng, Kun Wang, Ruimeng Wang
Abstract:
In this article, we establish the existence of a least energy sign-changing
solution for nonlinear problems involving the fractional Laplacian.
Our main tool is constrained minimization in a closed subset containing
all the sign-changing solutions of the equation.
Submitted March 12, 2015. Published April 21, 2015.
Math Subject Classifications: 35B38, 35D05, 35J20.
Key Words: Sign-changing solutions; fractional Laplacian; minimization;
Nehari manifold
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Kaimin Teng Department of Mathematics, Taiyuan University of Technology Taiyuan, Shanxi 030024, China email: tengkaimin2013@163.com |
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| Kun Wang Department of Mathematics, Taiyuan University of Technology Taiyuan, Shanxi 030024, China email: 1090417245@qq.com | |
| Ruimeng Wang Department of Mathematics, Taiyuan University of Technology Taiyuan, Shanxi 030024, China email: 1042583643@qq.com |
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