Boundary spike of the singular limit of an energy minimizing problem
Xinfu Chen, Huiqiang Jiang, Guoqing Liu · Discrete and Continuous Dynamical Systems · 2020
In this paper, we consider the singular limit of an energy minimizing problem which is a semi-limit of a singular elliptic equation modeling steady states of thin film equation with both Van der Waals force and Born repulsion force. We show that the singular limit of energy minimizers is a Dirac mass located on the boundary point with the maximum curvature.