Resumen de A stability result for nonlinear Neumann problems in Reifenberg flat domains in Rn

Antoine Lemenant, Emmanouil Milakis

• In this paper we prove that if k is a sequence of Reifenberg-flat domains in RN that converges to for the complementary Haus- dorff distance and if in addition the sequence k has a �uniform size of holes�, then the solutions uk of a Neumann problem of the form (0.1) ( -div a(x,ruk) + b(x, uk) = 0 in k a(x,ruk) ·  = 0 on @ k converge to the solution u of the same Neumann problem in .

  The result is obtained by proving the Mosco convergence of some Sobolev spaces, that follows from the extension property of Reifenberg-flat domains.