Geodesic
The~Sobolev--Poincar\'e inequality and the~$L_{q,p}$-cohomology of~twisted cylinders
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 566-584

Voir la notice de l'article provenant de la source Math-Net.Ru

We establish a vanishing result for the $L_{q,p}$-cohomology (${q\ge p}$) 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–Poincaré inequality developed by L. Shartser.
Keywords: differential form, Sobolev–Poincaré inequality, $L_{q,p}$-cohomology, twisted cylinder, homotopy operator. 
@article{SEMR_2020_17_a129,
     author = {V. Gol'dstein and Ya. A. Kopylov},
     title = {The~Sobolev--Poincar\'e inequality and the~$L_{q,p}$-cohomology of~twisted cylinders},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {566--584},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a129/}
}
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V. Gol'dstein; Ya. A. Kopylov. The~Sobolev--Poincar\'e inequality and the~$L_{q,p}$-cohomology of~twisted cylinders. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 566-584. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a129/