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arXiv · 1911.01216

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

Ariadne Nogueira·Jean Carlos Nakasato·Marcone C. Pereira
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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.

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Ariadne Nogueira, Jean Carlos Nakasato, Marcone C. Pereira. 2019-11-04. Concentrated reaction terms on the boundary of rough domains for a quasilinear equation. https://arxiv.org/abs/1911.01216

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