Results of prescribing Q-curvature on S~n

摘要

Using a flow approach, generalizing previous results from Chen and Xu [12] and Ho [20], an existence result of prescribing Q-curvature on the even-dimensional standard sphere S~n as a given positive function f was obtained under suitable assumptions on the Morse index of f. In this note, we prove a more general existence result by assuming only that f is positive somewhere.