Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2019, Volume: 16, Pages: 1079-1090 Pages count : 12 DOI: 10.33048/semi.2019.16.075

Tags

Differential form; Orlicz cohomology; Poincaré-Sobolev- Orlicz inequality; Torsion

Authors

Gol'dshtein V. ¹ , Kopylov Y.A. ^2,3

Affiliations

1	Department of Mathematics, Ben Gurion University of the Negev, P.O.Box 653, Beer Sheva, Israel
2	Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russian Federation
3	Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russian Federation

We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincaré-Sobolev-Orlicztype inequalities is discussed. © 2019, Sobolev Institute of Mathematics.

Gol'dshtein V. , Kopylov Y.A.
Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.1079-1090. DOI: 10.33048/semi.2019.16.075 WOS Scopus OpenAlex

Web of science:	WOS:000480602300001
Scopus:	2-s2.0-85071150293
OpenAlex:	W3016087473

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Scopus	4
OpenAlex	4
Web of science	2