Uniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1

Loading...
Thumbnail Image
Date
2013
Volume
1804
Issue
Journal
Series Titel
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Link to publishers version
Abstract

We consider the equation (-Δ)s u+u = up with s ∈ (0,1) in the subcritical range of p. We prove that if s is sufficiently close to 1 the equation possesses a unique minimizer, which is nondegenerate.

Description
Keywords
Fractional Laplacian, uniqueness results, nondegeneracy of minimizers, asymptotic methods
Citation
Fall, M. M., & Valdinoci, E. (2013). Uniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1 (Vol. 1804). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
Collections
License
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.