Multiplicity and concentration of positive solutions for fractional nonlinear Schrodinger equations with critical growth

In this article we consider the multiplicity and concentration behavior of positive solutions for the fractional nonlinear Schrodinger equation $$\displaylines{ \varepsilon^{2s}(-\Delta)^{s}u + V(x)u= u^{2^*_s-1} + f(u) , \quad x\in\mathbb{R}^N,\cr u\in H^{s}(\mathbb{R}^N), \quad u(x) > 0...

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Bibliographic Details
Main Authors: Xudong Shang, Jihui Zhang
Format: Article
Language:English
Published: Texas State University 2019-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/24/abstr.html