Electron. J. Differential Equations,
Vol. 2016 (2016), No. 238, pp. 1-10.
Least energy sign-changing solutions for nonlinear problems
involving fractional Laplacian
Zu Gao, Xianhua Tang, Wen Zhang
Abstract:
In this article, we study the existence of least energy sign-changing
solutions for nonlinear problems involving fractional Laplacian.
By introducing some new ideas and combining constraint variational
method with the quantitative deformation lemma, we prove that the
problem possesses one least energy sign-changing solution.
Submitted June 21, 2016. Published August 31, 2016.
Math Subject Classifications: 35R11, 58E30.
Key Words: Nonlinear problems; sign-changing solutions; nonlocal term.
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Zu Gao
School of Mathematics and Statistics
Central South University
Changsha, 410083 Hunan, China
email: gaozu7@163.com
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Xianhua Tang
School of Mathematics and Statistics
Central South University
Changsha, 410083 Hunan, China
email: tangxh@mail.csu.edu.cn
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Wen Zhang
School of Mathematics and Statistics
Hunan University of Commerce
Changsha, 410205 Hunan, China
email: zwmath2011@163.com
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