In this talk, I will present singularly perturbed Poisson-Boltzmann equations in the ball with two type boundary conditions: Dirichlet and Neumann boundary conditions. Investigating their first two-terms asymptotic expanions can lead to a Dirichlet-to-Neumann (DtN) mapping for their solutions with the mean curvature effect. Moreover, we can apply the DtN mapping to the related Robin problems.

海报