Uniqueness and Nondegeneracy of Positive Solutions of $${(-\Delta)^s u + u = u^p \, {\rm in} \, \mathbb{R}^N}$$ ( - Δ ) s u + u = u p in R N when s is Close to 1

Title
Uniqueness and Nondegeneracy of Positive Solutions of $${(-\Delta)^s u + u = u^p \, {\rm in} \, \mathbb{R}^N}$$ ( - Δ ) s u + u = u p in R N when s is Close to 1
Authors
Keywords
Solitary Wave, Nonlocal Operator, Fractional Sobolev Space, Positive Radial Solution, Mountain Pass Solution
Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 329, Issue 1, Pages 383-404
Publisher
Springer Nature
Online
2014-02-27
DOI
10.1007/s00220-014-1919-y

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