College of Science
China University of Mining and Technology
Xuzhou 221116, China
email: huajin@cumt.edu.cn
College of Science
China University of Mining and Technology
Xuzhou 221116, China
phone (86-516) 83591530
email: liuwenbin-xz@163.com
Hua Jin, Wenbin Liu
Abstract:
This article concerns the ground state solutions of nonlinear fractional
Schrodinger equations involving critical growth. We obtain the existence
of ground state solutions when the potential is not a constant and not radial.
We do not use the Ambrosetti-Rabinowitz condition, or the monotonicity
condition on the nonlinearity.
Submitted December 2, 2016. Published March 24, 2017.
Math Subject Classifications: 35A15, 35B33, 35Q55.
Key Words: Fractional Schrodinger equations; ground state solutions;
critical growth; Pohozaev identity.
Show me the PDF file (298 KB), TEX file for this article.
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Hua Jin College of Science China University of Mining and Technology Xuzhou 221116, China email: huajin@cumt.edu.cn |
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Wenbin Liu College of Science China University of Mining and Technology Xuzhou 221116, China phone (86-516) 83591530 email: liuwenbin-xz@163.com |
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