@ARTICLE{10.21494/ISTE.OP.2024.1174, TITLE={A note on the Branson-Paneitz curvature problem}, AUTHOR={Randa Ben Mahmoud, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={15}, NUMBER={Issue 3 (June 2024)}, YEAR={2024}, URL={https://openscience.fr/A-note-on-the-Branson-Paneitz-curvature-problem}, DOI={10.21494/ISTE.OP.2024.1174}, ISSN={1869-6090}, ABSTRACT={In this note we revise the perturbation result of [7] on the prescribed Branson-Paneitz curvature problem on the n-dimensional unit sphere, $$$n$$$ ≥ 6. We remove condition (A1) of ([7], Theorem 1.3) and we prove an entirely new perturbation theorem.}}