The higher regularity and decay estimates for positive solutions of fractional Choquard equations

Abstract

AbstractIn the paper, we study the higher regularity and decay estimates for positive solutions of the following fractional Choquard equations: where , is a constant, , , , . Let be a positive solution of (). We obtain an optimal decay estimate for and reveal the relation between and the decay rate of for all permitting . We skillfully use the properties of Bessel kernel to deduce our main result by iteration. Moreover, by the decay estimates, the stronger regular estimates for are obtained.