Some Geometric Properties for a Class of Non-Lipschitz Domains

摘要

In this paper, we introduce a class C, of domains of RN, N≧ 2, which satisfy a geometric property of the inwardnormal (such domains are not Lipschitz, in general). We begin by givingvarious results concerning this property, and we show the stability of thesolution of the Dirichlet problem when the domain varies in C.