Singular -Homogenization for Highly Conductive Fractal Layers

  • Simone Creo

    Sapienza Università di Roma, Italy
Singular $p$-Homogenization for Highly Conductive Fractal Layers cover

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Abstract

We consider a quasi-linear homogenization problem in a two-dimensional pre-fractal domain , for , surrounded by thick fibers of amplitude . We introduce a sequence of “pre-homogenized” energy functionals, and we prove that this sequence converges in a suitable sense to a quasi-linear fractal energy functional involving a -energy on the fractal boundary. We prove existence and uniqueness results for (quasi-linear) pre-homogenized and homogenized fractal problems. The convergence of the solutions is also investigated.

Cite this article

Simone Creo, Singular -Homogenization for Highly Conductive Fractal Layers. Z. Anal. Anwend. 40 (2021), no. 4, pp. 401–424

DOI 10.4171/ZAA/1690