We prove that given any k∈ N, for each open set Ω⊆ R n and any closed subset D of Ω¯
such that Ω is locally an (ε, δ)-domain near∂ Ω∖ D, there exists a linear and bounded …

The main purpose of this paper is the analysis of mixed-transmission problems for the
anisotropic Stokes system in a compressible framework and in bounded Lipschitz domains …

A class of convex constrained minimization problems over polyhedral cones for geometry-
dependent quadratic objective functions is considered in a functional analysis framework …

The purpose of this paper is to study boundary value problems of Robin type for the
Brinkman system and a semilinear elliptic system, called the Darcy–Forchheimer–Brinkman …

The Developments in Mathematics (DEVM) book series is devoted to publishing well-written
monographs within the broad spectrum of pure and applied mathematics. Ideally, each book …

Let Ω⊂ ℝn be a bounded Lipschitz domain, whose boundary decomposes into two disjoint
pieces Σt, Σn⊆∂ Ω, which meet at an angle< π. Denote by v the outward unit normal to Ω …

In this paper we are concerned with the stationary and non-stationary Stokes and Navier–
Stokes problems with mixed boundary conditions involving velocity, pressure, rotation …

We consider the mixed boundary value problem, or Zaremba's problem, for the Laplacian in
a bounded Lipschitz domain Ω in R n, n≥ 2. We decompose the boundary ∂Ω=D∪N with D …

This paper studies the mixed problems for the Brinkman system in H s (Ω; R m)× H s− 1 (Ω)
with 1≤ s≤ 2. Here Ω⊂ R m is a bounded domain with Lipschitz boundary (not necessarily …

The purpose of this paper is to study the mixed Dirichlet‐Neumann boundary value problem
for the semilinear Darcy‐Forchheimer‐Brinkman system in L p‐based Besov spaces on a …