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.
Show me the PDF file (225 KB), TEX file for this article.
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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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