THE SOBOLEV–POINCARE INEQUALITY AND THE Lq,p - COHOMOLOGY OF TWISTED CYLINDERS

Vladimir Gol'dshtein; Yaroslav Anatol evich Kopylov

doi:10.33048/semi.2020.17.036

THE SOBOLEV–POINCARE INEQUALITY AND THE Lq,p - COHOMOLOGY OF TWISTED CYLINDERS

Vladimir Gol'dshtein
, Yaroslav Anatol evich Kopylov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish a vanishing result for the L_q,p-cohomology (q > p) of a twisted cylinder, which is a generalization of a warped cylinder. The result is new even for warped cylinders. We base on the methods for proving the (p, q)-Sobolev-Poincare inequality developed by L. Shartser.

Original language	English
Pages (from-to)	566-584
Number of pages	19
Journal	Siberian Electronic Mathematical Reports
Volume	17
DOIs	https://doi.org/10.33048/semi.2020.17.036
State	Published - 1 Jan 2020

Keywords

differential form
homotopy operator
L-cohomology
Sobolev-Poincare inequality
twisted cylinder

ASJC Scopus subject areas

General Mathematics

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10.33048/semi.2020.17.036

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title = "THE SOBOLEV{\textendash}POINCARE INEQUALITY AND THE Lq,p - COHOMOLOGY OF TWISTED CYLINDERS",

abstract = "We establish a vanishing result for the Lq,p-cohomology (q > p) of a twisted cylinder, which is a generalization of a warped cylinder. The result is new even for warped cylinders. We base on the methods for proving the (p, q)-Sobolev-Poincare inequality developed by L. Shartser.",

keywords = "differential form, homotopy operator, L-cohomology, Sobolev-Poincare inequality, twisted cylinder",

author = "Vladimir Gol'dshtein and Kopylov, \{Yaroslav Anatol evich\}",

note = "Publisher Copyright: {\textcopyright} 2020 gol'dshteinv.,kopylov ya.a.",

year = "2020",

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doi = "10.33048/semi.2020.17.036",

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AU - Kopylov, Yaroslav Anatol evich

PY - 2020/1/1

Y1 - 2020/1/1

N2 - We establish a vanishing result for the Lq,p-cohomology (q > p) of a twisted cylinder, which is a generalization of a warped cylinder. The result is new even for warped cylinders. We base on the methods for proving the (p, q)-Sobolev-Poincare inequality developed by L. Shartser.

AB - We establish a vanishing result for the Lq,p-cohomology (q > p) of a twisted cylinder, which is a generalization of a warped cylinder. The result is new even for warped cylinders. We base on the methods for proving the (p, q)-Sobolev-Poincare inequality developed by L. Shartser.

KW - differential form

KW - homotopy operator

KW - L-cohomology

KW - Sobolev-Poincare inequality

KW - twisted cylinder

UR - https://www.scopus.com/pages/publications/85097225351

U2 - 10.33048/semi.2020.17.036

DO - 10.33048/semi.2020.17.036

M3 - Article

AN - SCOPUS:85097225351

SN - 1813-3304

VL - 17

SP - 566

EP - 584

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

ER -

THE SOBOLEV–POINCARE INEQUALITY AND THE Lq,p - COHOMOLOGY OF TWISTED CYLINDERS

Abstract

Keywords

ASJC Scopus subject areas

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