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

作者：de Moura Renato Jose^*; do Nascimento Arnaldo Simal

来源：Journal of Mathematical Analysis and Applications, 2018, 461(2): 993-1008.

DOI：10.1016/j.jmaa.2018.01.020

• Systems of elliptic equations
• Equal area condition
• Nonlinear boundary condition
• Internal transition layer
• Boundary transition layer
• Bulk balance law

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.

• 出版日期2018-5-15