\(L^1\)-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
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Publication:2423873
DOI10.1007/s11425-018-9498-8zbMath1417.58001arXiv1902.10138OpenAlexW2929363786MaRDI QIDQ2423873
Bruno Franchi, Annalisa Baldi, Pierre Pansu
Publication date: 20 June 2019
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.10138
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Differential forms in global analysis (58A10)
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Cites Work
- Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups
- Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu
- New estimates for elliptic equations and Hodge type systems
- Integral estimates for null Lagrangians
- Sobolev and isoperimetric inequalities for degenerate metrics
- A note on div curl inequalities
- Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
- Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations
- Normal and integral currents
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Riemannian geometry and geometric analysis
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