Existence of ground state for fractional Kirchhoff equation with L 2 $L^{2}$ critical exponents

Existence of ground state for fractional Kirchhoff equation with L 2 $L^{2}$ critical exponents

Abstract In this paper, we consider a class of fractional Kirchhoff equations with L 2 $L^{2}$ critical exponents. By using the scaling technique and concentration-compactness principle we obtain the existence and nonexistence of ground state for fractional Kirchhoff equation with L 2 $L^{2}$ critic...

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Bibliographic Details
Main Authors: Yaling Han, Yimin Zhang
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Boundary Value Problems
Subjects:
L 2 $L^{2}$ critical exponent
Besov space
Fractional Kirchhoff equation
Ground state
Online Access:http://link.springer.com/article/10.1186/s13661-020-01424-2

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