首页|Singular p-Homogenization for Highly Conductive Fractal Layers
Singular p-Homogenization for Highly Conductive Fractal Layers
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NSTL
We consider a quasi-linear homogenization problem in a two-dimensional pre-fractal domain Omega(n), for n is an element of N, surrounded by thick fibers of amplitude epsilon. 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 p-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.
NSTL
