Electron. J. Differential Equations, Vol. 2017 (2017), No. 80, pp. 1-19.

Ground state solutions for nonlinear fractional Schrodinger equations involving critical growth

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.

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Hua Jin
College of Science
China University of Mining and Technology
Xuzhou 221116, China
email: huajin@cumt.edu.cn
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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