Necessity of internal and boundary bulk balance law for existence of interfaces for an elliptic system with nonlinear boundary condition

摘要

For a system of stationary solutions to a reaction-diffusion equations with small diffusion coefficient and nonlinear flux boundary condition we prove that the bulk balance law, not only on the domain but on its boundary as well, is a necessary condition for formation of internal and boundary layers. (C) 2018 Elsevier Inc. All rights reserved.