In recent years, there has been a great deal of activity in the study of boundary value
problems with minimal smoothness assumptions on the coefficients or on the boundary of …

The first two chapters contain introductory courses. Chapter 1 presents the theory of Sobolev-
type spaces Hs (s∈ R) on Rn, on a smooth closed manifold, and on a smooth bounded …

This paper, somewhat delayed in the series “Fundamental Directions,” is devoted to general
linear elliptic boundary problems on a smooth compact manifold with boundary. The paper …

The goal of this work is to treat the main boundary value problems for the Stokes system,
ie,(i) the Dirichlet problem with Lp-data and nontangential maximal function estimates,(ii) the …

We study boundary value problems for the time-harmonic form of the Maxwell equations, as
well as for other related systems of equations, on arbitrary Lipschitz domains in the three …

In the first part of this article we give intrinsic characterizations of the classes of Lipschitz and
C 1 domains. Under some mild, necessary, background hypotheses (of topological and …

We study the Dirichlet problem, in Lipschitz domains and with boundary data in Besov
spaces, for divergence form strongly elliptic systems of arbitrary order with bounded …

Let Ω be a bounded Lipschitz domain in Rn. We develop a new approach to the invertibility
on Lp (∂ Ω) of the layer potentials associated with elliptic equations and systems in Ω. As a …

The classical formulation of boundary value problems for constant coefficient elliptic
operators, or systems of operators, involves continuous data on the boundary of a (smooth) …

The biharmonic Neumann problem in Lipschitz domains Page 1 Acta Math., 194 (2005), 217-279
@ 2005 by Institut Mittag-Lettter. All rights reserved The biharmonic Neumann problem in …