Fractional minimization problem on the Nehari manifold

In the framework of fractional Sobolev space, using Nehari manifold and concentration compactness principle, we study a minimization problem in the whole space involving the fractional Laplacian. Firstly, we give a Lions type lemma in fractional Sobolev space, which is crucial in the proof of ou...

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Bibliographic Details
Main Authors: Mei Yu, Meina Zhang, Xia Zhang
Format: Article
Language:English
Published: Texas State University 2018-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/82/abstr.html