Concentrated reaction terms on the boundary of rough domains for a quasilinear equation
Ariadne Nogueira, Jean Carlos Nakasato, Marcone Corrêa Pereira · Applied Mathematics Letters · 2019
In this work we analyze the solutions of a p-Laplacian equation with homogeneous Neumann boundary conditions set in a family of rough domains with a nonlinear term concentrated on the boundary. At the limit, we get a nonlinear boundary condition capturing the oscillatory geometry of the strip where the reactions take place.