Our main goal in this long survey article is to provide an overview of the theory of complex
fractal dimensions and of the associated geometric or fractal zeta functions, first in the case …

Divergence Operator and Related Inequalities Page 1 123 SPRINGER BRIEFS IN
MATHEMATICS Gabriel Acosta Ricardo G. Durán Divergence Operator and Related …

We consider inequalities where integrals are defined in the sense of Choquet with respect to
Hausdorff content. We study cases where continuously differentiable functions are defined …

Abstract Let Ω ⊂ R^ n Ω⊂ R n, n ≥ 2 n≥ 2, be a bounded domain satisfying the separation
property. We show that the following conditions are equivalent:(i) Ω Ω is a John domain;(ii) …

In this paper we analyze the interaction of an incompressible, generalized Newtonian fluid
with a linearly elastic Koiter shell whose motion is restricted to transverse displacements …

The goal of this work is to show that the generalized Korn inequality that replaces the
symmetric part of the differential matrix in the classical Korn inequality by its trace‐free part is …

Abstract Let Ω⊂ R n be a bounded domain that can be written as Ω=⋃ t Ω t, where {Ω t} t∈ Γ
is a countable collection of domains with certain properties. In this work, we develop a …

We construct a stable right inverse for the divergence operator in non-cylindrical domains in
space-time. The domains are assumed to be Hölder regular in space and evolve …

Korn's inequalities for generalized external cusps - Acosta - 2016 - Mathematical Methods in
the Applied Sciences - Wiley Online Library Skip to Article Content Skip to Article Information …

In this paper, we study the weighted Korn inequality on some irregular domains, eg, s-John
domains and domains satisfying quasihyperbolic boundary conditions. Examples regarding …