Some Poincaré–Sobolev inequalities for differential forms | Sciact - Система учета научной деятельности ИМ СО РАН

Some Poincaré–Sobolev inequalities for differential forms Научная публикация

Журнал

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Вых. Данные

Год: 2025, DOI: 10.1007/s10958-025-08081-9

Ключевые слова

Integral cohomology, embedding operator, Poincaré–Sobolev inequality

Авторы

Gol’dshtein V. ¹ , Kopylov Ya. ² , Panenko R. ²

Организации

1	Ben Gurion University of the Negev, Beer Sheva, Israel
2	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Информация о финансировании (1)

Министерство науки и высшего образования РФ

FWNF-2026-0026

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.

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

Поступила в редакцию:	11 мая 2025 г.
Принята к публикации:	18 нояб. 2025 г.
Опубликована в печати:	3 дек. 2025 г.

Scopus:	2-s2.0-105023975471
OpenAlex:	W4416936916

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