Condensation phenomena of a least-energy solution to semilinear Neumann problems on piecewise smooth domains

In this paper we consider the condensation phenomena of a least-energy solution to semilinear Neumann problems. In precedent studies it has been investigated that the mean curvature of the boundary plays an important role in the condensation phenomena. We prove that a vertex on the boundary plays a similar role in the condensation phenomena, and we obtain the asymptotic profile of a least-energy solution.