Toward the theory of Orlicz–Sobolev classes
D Kovtonyuk, V Ryazanov, R Salimov - St. Petersburg Mathematical …, 2014 - ams.org
It is shown that, under a Calderón type condition on the function $\varphi $, the continuous
open mappings that belong to the Orlicz–Sobolev classes $ W^{1,\varphi} _ {\mathrm {loc}} …
open mappings that belong to the Orlicz–Sobolev classes $ W^{1,\varphi} _ {\mathrm {loc}} …
On convergence analysis of space homeomorphisms
VI Ryazanov, RR Salimov, EA Sevostyanov - Siberian Advances in …, 2013 - Springer
Various theorems on convergence of general spatial homeomorphisms are proved and, on
this basis, theorems on convergence and compactness for classes of the so-called ring Q …
this basis, theorems on convergence and compactness for classes of the so-called ring Q …
Normal families of discrete open mappings with controlled p-module
We consider the generic discrete open mappings in Rn under which the perturbation of
extremal lengths of curve collections is controlled integrally via∫ Q (x) ηp (| x− x0|) dm (x) …
extremal lengths of curve collections is controlled integrally via∫ Q (x) ηp (| x− x0|) dm (x) …
On mappings in the Orlicz–Sobolev classes on Riemannian manifolds
ES Afanasieva, VI Ryazanov, RR Salimov - Journal of Mathematical …, 2012 - Springer
We study the problems of the continuous and homeomorphic extension to the boundary of
lower Q-homeomorphisms between domains on Riemannian manifolds and formulate the …
lower Q-homeomorphisms between domains on Riemannian manifolds and formulate the …
К теории классов Орлича–Соболева
ДА Ковтонюк, ВИ Рязанов, РР Салимов… - Алгебра и …, 2013 - mathnet.ru
§ ½º В работах академика ЮГ Решетняка и его учеников, СК Водопьянова, ВМ
Гольдштейна и других в свое время была развита теория отображений с …
Гольдштейна и других в свое время была развита теория отображений с …
Prime ends and Orlicz–Sobolev classes
D Kovtonyuk, V Ryazanov - St. Petersburg Mathematical Journal, 2016 - ams.org
A canonical representation of prime ends is obtained in the case of regular spatial domains,
and the boundary behavior is studied for the so-called lower $ Q $-homeomorphisms, which …
and the boundary behavior is studied for the so-called lower $ Q $-homeomorphisms, which …
[图书][B] Mappings with Direct and Inverse Poletsky Inequalities
E Sevost'yanov - 2023 - Springer
To understand the importance of studying the direct and inverse Poletsky inequalities, it
suffices to compare them with the Cauchy integral formula for analytic functions. In itself, the …
suffices to compare them with the Cauchy integral formula for analytic functions. In itself, the …
On finitely Lipschitz space mappings
R Salimov - arXiv preprint arXiv:1103.1315, 2011 - arxiv.org
arXiv:1103.1315v3 [math.CV] 19 May 2011 Page 1 arXiv:1103.1315v3 [math.CV] 19 May 2011
On finitely Lipschitz space mappings. R. Salimov October 6, 2018 (SALIMOV.tex) Abstract It is …
On finitely Lipschitz space mappings. R. Salimov October 6, 2018 (SALIMOV.tex) Abstract It is …
Об отображениях в классах Орлича--Соболева на римановых многообразиях
ЕС Афанасьева, ВИ Рязанов… - Український …, 2011 - dspace.nbuv.gov.ua
Изучаются проблемы непрерывного и гомеоморфного продолжения на границу нижних
Q-гомеоморфизмов между областями на римановых многообразиях, формулируются …
Q-гомеоморфизмов между областями на римановых многообразиях, формулируются …
[PDF][PDF] New modulus estimates in Orlicz-Sobolev classes
D Kovtonuyk, V Ryazanov - Ann. Univ. Buchar. Math. Ser, 2014 - researchgate.net
Under a condition of the Calderon type on ϕ, we show that a homeomorphism f of finite
distortion in W1, ϕ loc and, in particular, f∈ W1, p loc for p> n− 1 in Rn, n≥ 3, is a lower Q …
distortion in W1, ϕ loc and, in particular, f∈ W1, p loc for p> n− 1 in Rn, n≥ 3, is a lower Q …