Some Poincaré–Sobolev inequalities for differential forms Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2025, DOI: 10.1007/s10958-025-08081-9 | ||||
| Tags | Integral cohomology, embedding operator, Poincaré–Sobolev inequality | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0026 |
Abstract:
We continue the study of embeddings between different classes of Sobolev spaces of differential forms started in 2006 in a paper by Gol’dshtein and Troyanov. Like in this paper, our study is based on relations between Lq,p-cohomology and Sobolev type inequalities. The main results are estimates for the norms of the embedding operators for q = p and p > n−1/k−1 in the Euclidean r -ball B(r ) and its bi-Lipschitz images. We also study the compactness of such operators.
Cite:
Gol’dshtein V.
, Kopylov Y.
, Panenko R.
Some Poincaré–Sobolev inequalities for differential forms
Journal of Mathematical Sciences (United States). 2025. DOI: 10.1007/s10958-025-08081-9 Scopus OpenAlex
Some Poincaré–Sobolev inequalities for differential forms
Journal of Mathematical Sciences (United States). 2025. DOI: 10.1007/s10958-025-08081-9 Scopus OpenAlex
Dates:
| Submitted: | May 11, 2025 |
| Accepted: | Nov 18, 2025 |
| Published print: | Dec 3, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105023975471 |
| OpenAlex: | W4416936916 |
Citing:
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