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

Abstract

AbstractIn 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 critical exponent.