SCALAR CURVATURES ON S2
A theorem for the existence of solutions of the nonlinear elliptic equation –Δu + 2 = R(x)eu, x ∊ S 2, is proved by using a “mass center” analysis technique and by applying a continuous “flow” in H1 (S2) controlled by ∇R.
A theorem for the existence of solutions of the nonlinear elliptic equation –Δu + 2 = R(x)eu, x ∊ S 2, is proved by using a “mass center” analysis technique and by applying a continuous “flow” in H1 (S2) controlled by ∇R.