Concentrated reaction terms on the boundary of rough domains for a quasilinear equation

Abstract

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.

It has been accepted for publication in Applied Mathematics Letters

References in corpus (1)

• Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary