[图书][B] Hardy operators, function spaces and embeddings
DE Edmunds, WD Evans - 2013 - books.google.com
Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with
smooth boundary, are not only of considerable intrinsic interest but have for many years …
smooth boundary, are not only of considerable intrinsic interest but have for many years …
Weighted Sobolev spaces and embedding theorems
V Gol'dshtein, A Ukhlov - Transactions of the american mathematical …, 2009 - ams.org
In the present paper we study embedding operators for weighted Sobolev spaces whose
weights satisfy the well-known Muckenhoupt $ A_p $-condition. Sufficient conditions for …
weights satisfy the well-known Muckenhoupt $ A_p $-condition. Sufficient conditions for …
Sobolev spaces and -quasiconformal mappings of Carnot groups
SK Vodopyanov, ADO Ukhlov - Sibirskii Matematicheskii Zhurnal, 1998 - mathnet.ru
SK Vodop'yanov, AD-O. Ukhlov, “Sobolev spaces and $(P,Q)$-quasiconformal mappings of
Carnot groups”, Sibirsk. Mat. Zh., 39:4 (1998), 776–795; Siberian Math. J., 39:4 (1998), 665–682 …
Carnot groups”, Sibirsk. Mat. Zh., 39:4 (1998), 776–795; Siberian Math. J., 39:4 (1998), 665–682 …
Composition Operators on Sobolev Spaces and Q-Homeomorphisms
A Menovschikov, A Ukhlov - Computational Methods and Function Theory, 2024 - Springer
Composition Operators on Sobolev Spaces and Q-Homeomorphisms | Computational
Methods and Function Theory Skip to main content SpringerLink Account Menu Find a …
Methods and Function Theory Skip to main content SpringerLink Account Menu Find a …
On the first eigenvalues of free vibrating membranes in conformal regular domains
V Gol'Dshtein, A Ukhlov - Archive for Rational Mechanics and Analysis, 2016 - Springer
In 1961 G. Polya published a paper about the eigenvalues of vibrating membranes. The
“free vibrating membrane” corresponds to the Neumann–Laplace operator in bounded …
“free vibrating membrane” corresponds to the Neumann–Laplace operator in bounded …
[HTML][HTML] The spectral estimates for the Neumann–Laplace operator in space domains
V Gol'dshtein, A Ukhlov - Advances in Mathematics, 2017 - Elsevier
In this paper we prove discreteness of the spectrum of the Neumann–Laplacian (the free
membrane problem) in a large class of non-convex space domains. The lower estimates of …
membrane problem) in a large class of non-convex space domains. The lower estimates of …
Mappings with bounded (P, Q)-distortion on Carnot groups
A Ukhlov, SK Vodop'yanov - Bulletin des sciences mathematiques, 2010 - Elsevier
We study mappings with bounded (p, q)-distortion associated to Sobolev spaces on Carnot
groups. Mappings of such type have applications to the Sobolev type embedding theory and …
groups. Mappings of such type have applications to the Sobolev type embedding theory and …
About homeomorphisms that induce composition operators on Sobolev spaces
V Gol'dshtein, A Ukhlov - Complex Variables and Elliptic Equations, 2010 - Taylor & Francis
We study generalizations of the quasiconformal homeomorphisms (the so-called
homeomorphisms with bounded (p, q)-distortion) that induce bounded composition …
homeomorphisms with bounded (p, q)-distortion) that induce bounded composition …
On the Neumann (p, q)-eigenvalue problem in Hölder singular domains
P Garain, V Pchelintsev, A Ukhlov - Calculus of Variations and Partial …, 2024 - Springer
In the article we study the Neumann (p, q)-eigenvalue problems in bounded Hölder γ-
singular domains Ω γ⊂ R n. In the case 1< p<∞ and 1< q< p γ∗ we prove solvability of this …
singular domains Ω γ⊂ R n. In the case 1< p<∞ and 1< q< p γ∗ we prove solvability of this …
On the first eigenvalue of the degenerate p-Laplace operator in non-convex domains
V Gol'dshtein, V Pchelintsev, A Ukhlov - Integral Equations and Operator …, 2018 - Springer
In this paper we obtain lower estimates of the first non-trivial eigenvalues of the degenerate
p-Laplace operator, p> 2 p> 2, in a large class of non-convex domains. This study is based …
p-Laplace operator, p> 2 p> 2, in a large class of non-convex domains. This study is based …