Open discrete mappings having local ACL n inverses
M Cristea - Complex Variables and Elliptic Equations, 2010 - Taylor & Francis
We consider open, discrete mappings between domains from R n satisfying condition (N),
having local ACL n inverses on D∖ B f, so that μ n (B f)= 0, H*(·, f)<∞ on B f and. For this …
having local ACL n inverses on D∖ B f, so that μ n (B f)= 0, H*(·, f)<∞ on B f and. For this …
Singularities of discrete open mappings with controlled p-module
We consider the generic discrete open continuous mappings in ℝ n under which the
perturbation of extremal lengths of curve collections is controlled integrally via∫ Q (x) η p …
perturbation of extremal lengths of curve collections is controlled integrally via∫ Q (x) η p …
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) …
[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 …
Differentiability in the Sobolev space
V Tengvall - Calculus of variations and partial differential equations, 2014 - Springer
Abstract Let Ω ⊂ R^ n Ω⊂ R n be a domain, n ≥ 2 n≥ 2. We show that a continuous, open
and discrete mapping f ∈ W_ loc^ 1, n-1 (Ω, R^ n) f∈ W loc 1, n-1 (Ω, R n) with integrable …
and discrete mapping f ∈ W_ loc^ 1, n-1 (Ω, R^ n) f∈ W loc 1, n-1 (Ω, R n) with integrable …
The boundary behavior of -homeomorphisms
SK Vodopyanov, A Molchanova - Известия Российской академии наук …, 2023 - mathnet.ru
SK Vodopyanov, AO Molchanova, “The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms”,
Izv. RAN. Ser. Mat., 87:4 (2023), 47–90; Izv. Math., 87:4 (2023), 683–725 Izvestiya: Mathematics …
Izv. RAN. Ser. Mat., 87:4 (2023), 47–90; Izv. Math., 87:4 (2023), 683–725 Izvestiya: Mathematics …
Eliminability results for mappings satisfying generalized modular inequalities
M Cristea - Complex Variables and Elliptic Equations, 2019 - Taylor & Francis
We prove eliminability results for some open, discrete mappings f: D∖ E→ R n¯ such that M
q (f (Γ))≤ γ (M ω p (Γ)) for every Γ∈ A (D∖ E) in the case n− 1< q< n and for sets E⊂ D such …
q (f (Γ))≤ γ (M ω p (Γ)) for every Γ∈ A (D∖ E) in the case n− 1< q< n and for sets E⊂ D such …
Some properties of open, discrete, generalized ring mappings
M Cristea - Complex Variables and Elliptic Equations, 2016 - Taylor & Francis
We study properties of open, discrete ring mappings satisfying generalized modular
inequalities. Such mappings generalize the known class of quasiregular mappings and their …
inequalities. Such mappings generalize the known class of quasiregular mappings and their …
О регулярности отображений, обратных к соболевским, и теория -гомеоморфизмов
СК Водопьянов - Сибирский математический журнал, 2020 - mathnet.ru
Доказано, что всякий гомеоморфизм ϕ: D→ D евклидовых областей в Rn, n≥ 2, класса
Соболева W1 p, loc (D), p∈[1,∞), с конечным искажением индуцирует ограниченный …
Соболева W1 p, loc (D), p∈[1,∞), с конечным искажением индуцирует ограниченный …
Capacity inequalities and Lipschitz continuity of mappings
R Salimov, E Sevost'yanov, A Ukhlov - arXiv preprint arXiv:2302.13302, 2023 - arxiv.org
arXiv:2302.13302v1 [math.AP] 26 Feb 2023 Page 1 arXiv:2302.13302v1 [math.AP] 26 Feb
2023 CAPACITY INEQUALITIES AND LIPSCHITZ CONTINUITY OF MAPPINGS R. SALIMOV …
2023 CAPACITY INEQUALITIES AND LIPSCHITZ CONTINUITY OF MAPPINGS R. SALIMOV …