Title: Conformal scalar curvature equation on S^n: functions with two close critical points (twin pseudo-peaks),
Abstract: By using the Lyapunov-Schmidt reduction method without perturbation, we
consider existence results for the conformal scalar curvature on S^n (n greater
or equal to 3) when the prescribed function (after being projected to R^n) has
two close critical points, which have the same value (positive), equal
"flatness" (twin, flatness < n - 2), and exhibit maximal behavior in certain
directions (pseudo-peaks). The proof relies on a balance between the two main
contributions to the reduced functional - one from the critical points and the
other from the interaction of the two bubbles.