Yutong Chen, Jiabao Su, Huanhong Yan
Abstract:
This paper deals with the existence and multiplicity results for fractional
problem involving the square root of the Laplacian
in a bounded
domain with zero Dirichlet boundary conditions by Morse theory and critical
groups for a
functional at both isolated critical points and infinity.
Submitted June 21, 2017. Published September 29, 2017
Math Subject Classifications: 35J10, 35J65 58E05.
Key Words: Fractional Laplacian; variational methods; critical group;
Morse theory.
Show me the PDF file (364 KB), TEX file for this article.
Yutong Chen School of Mathematical Sciences Capital Normal University Beijing 100048, China email: chenyutong@cnu.edu.cn | |
Jiabao Su School of Mathematical Sciences Capital Normal University Beijing 100048, China email: sujb@cun.edu.cn | |
Huanhong Yan School of Mathematical Sciences Capital Normal University Beijing 100048, China email: 1464938716@qq.com |
Return to the EJDE web page