In a previous paper (Part I) we focused our attention on pole solutions that arise in the context of flame propagation. The nonlinear development that follows after a planar flame front becomes ...

Let M be a compact hypersurface with constant mean curvature immersed into the unit Euclidean sphere $\mathbb{S}^{n+1}$. In this paper we derive a sharp upper bound for the first eigenvalue of the ...