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Concentrated reaction terms on the boundary of rough domains for a quasilinear equation. (English) Zbl 1440.35008

Summary: 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.

MSC:

35B25 Singular perturbations in context of PDEs
35J25 Boundary value problems for second-order elliptic equations
35J92 Quasilinear elliptic equations with \(p\)-Laplacian
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