Preprint,
February 2005

Journal of Differential Equations,**223** (2006), 1-32

Original available at DOI 10.1016/j.jde.2005.07.015

Citations on Google Scholar

Journal of Differential Equations,

Original available at DOI 10.1016/j.jde.2005.07.015

Citations on Google Scholar

The aim of the paper is to prove optimal results on local and global
uniform convergence of solutions to elliptic equations with Dirichlet
boundary conditions on varying domains. We assume that the limit
domain be stable in the sense of [Keldysh, *Amer. Math. Soc.
Translations* **51** (1966), 1-73]. We further assume that the
approaching domains satisfy a necessary condition in the inside of the
limit domain, and only require *L ^{2}*-convergence
outside. As a consequence, uniform and

You can go to the original article.

A preprint is available from the AAA-Preprint Series (PS file) at the University of Ulm, or by contacting me.