A monotone boundary condition for a domain with many tiny spherical holes
Satoshi Kaizu · Proceedings of the Japan Academy Series A Mathematical Sciences · 1985
1o Introduction.Let R be divided into an infinitely many number of cubes C, i e N, with volume of (2e) .Let B*(r,) be a closed ball of radius r,() set in the center of C, here N>=3.Let /2 be a bounded domain with smooth boundary F. We denote by F, the union of all balls B(r,) (c2) such that dist (B(r,), F)_>_.Let tg=9\F,.Let be the outer unit normal o.f 9,.For a positive number L, and a non-negative number