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

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

ASJC Scopus subject areas

General Mathematics

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10.33048/semi.2020.17.036

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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.",

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

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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.

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KW - differential form

KW - homotopy operator

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

Abstract

Keywords

ASJC Scopus subject areas

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