Q-curvature flow on the standard sphere of even dimension

Abstract

Using a gradient flow approach initiated by S. Brendle, we generalize the existence theorem for the prescribing Q-curvature equation on S 2 (Gauss curvature) by M. Struwe (2005) [14] and on S 4 by Malchiodi and Struwe (2006) [12] to S n for all even n with the similar assumption on the prescribed curvature candidate f.