Electron. J. Differential Equations, Vol. 2016 (2016), No. 321, pp. 1-17.

Existence of high-energy solutions for supercritical fractional Schrodinger equations in R^N

Lu Gan, Weiming Liu

Abstract:
In this article, we study supercritical fractional Schr\"odinger equations. Applying the finite-dimensional reduction method and the penalization method, we obtain the high-energy solutions for this equation.

Submitted October 31, 2016. Published December 20, 2016.
Math Subject Classifications: 35J20, 35B09, 35J60.
Key Words: Fractional Schrodinger equation; supercritical; finite-dimensional reduction method.

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Lu Gan
School of Mathematics and Statistics
Hubei Normal University
Huangshi 435002, China
email: ganlu0401@163.com
Weiming Liu
School of Mathematics and Statistics
Hubei Normal University
Huangshi 435002, China
email: whu.027@163.com

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