[Une preuve simple d'une inégalité de Bourgain, Brezis et Mironescu]
Nous donnons une preuve plus simple d'une inégalité récente de Bourgain, Brezis et Mironescu.
A simpler proof of a recent inequality of Bourgain, Brezis and Mironescu is given.
Accepté le :
Publié le :
Jean Van Schaftingen 1
@article{CRMATH_2004__338_1_23_0, author = {Jean Van Schaftingen}, title = {A simple proof of an inequality of {Bourgain,} {Brezis} and {Mironescu}}, journal = {Comptes Rendus. Math\'ematique}, pages = {23--26}, publisher = {Elsevier}, volume = {338}, number = {1}, year = {2004}, doi = {10.1016/j.crma.2003.10.036}, language = {en}, }
Jean Van Schaftingen. A simple proof of an inequality of Bourgain, Brezis and Mironescu. Comptes Rendus. Mathématique, Volume 338 (2004) no. 1, pp. 23-26. doi : 10.1016/j.crma.2003.10.036. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.10.036/
[1] J. Bourgain, H. Brezis, P. Mironescu, H1/2 maps with value into the circle; minimal connections, lifting, and the Ginzburg–Landau equation, Inst. Hautes Études Sci. Publ. Math., in press
[2] Analyse fonctionnelle, Collect. Math. Appl. Maı̂trise, Masson, Paris, 1983
[3] Geometric Measure Theory, Springer-Verlag, New York, 1969
- Fractional integration and optimal estimates for elliptic systems, Calculus of Variations and Partial Differential Equations, Volume 63 (2024) no. 5 | DOI:10.1007/s00526-024-02722-8
- Endpoint Sobolev Inequalities for Vector Fields and Cancelling Operators, Extended Abstracts 2021/2022, Volume 3 (2024), p. 47 | DOI:10.1007/978-3-031-48579-4_5
- Injective Ellipticity, Cancelling Operators, and Endpoint Gagliardo-Nirenberg-Sobolev Inequalities for Vector Fields, Geometric and Analytic Aspects of Functional Variational Principles, Volume 2348 (2024), p. 259 | DOI:10.1007/978-3-031-67601-7_5
- On Maz’ya’s Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions, Michigan Mathematical Journal, Volume 74 (2024) no. 3 | DOI:10.1307/mmj/20216116
- Endpoint
estimates for Hodge systems, Mathematische Annalen, Volume 385 (2023) no. 3-4, p. 1923 | DOI:10.1007/s00208-022-02383-y - Hardy-Littlewood-Sobolev inequality for
, Sbornik: Mathematics, Volume 213 (2022) no. 6, p. 844 | DOI:10.1070/sm9645 - Неравенство Харди-Литтлвуда-Соболева в случае
, Математический сборник, Volume 213 (2022) no. 6, p. 125 | DOI:10.4213/sm9645 - Continuity and canceling operators of order n on
, Calculus of Variations and Partial Differential Equations, Volume 59 (2020) no. 2 | DOI:10.1007/s00526-020-01739-z - Approximation in higher-order Sobolev spaces and Hodge systems, Journal of Functional Analysis, Volume 276 (2019) no. 5, p. 1430 | DOI:10.1016/j.jfa.2018.08.003
- Embeddings for A-weakly differentiable functions on domains, Journal of Functional Analysis, Volume 277 (2019) no. 12, p. 108278 | DOI:10.1016/j.jfa.2019.108278
- On some refinements of the embedding of critical Sobolev spaces into BMO, Pacific Journal of Mathematics, Volume 298 (2019) no. 1, p. 1 | DOI:10.2140/pjm.2019.298.1
- Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem, Chinese Annals of Mathematics, Series B, Volume 38 (2017) no. 1, p. 235 | DOI:10.1007/s11401-016-1069-y
- Bourgain–Brezis inequalities on symmetric spaces of non-compact type, Journal of Functional Analysis, Volume 273 (2017) no. 4, p. 1504 | DOI:10.1016/j.jfa.2017.05.005
- Limiting Bourgain–Brezis estimates for systems of linear differential equations: Theme and variations, Journal of Fixed Point Theory and Applications, Volume 15 (2014) no. 2, p. 273 | DOI:10.1007/s11784-014-0177-0
- Vortex Density Models for Superconductivity and Superfluidity, Communications in Mathematical Physics, Volume 318 (2013) no. 1, p. 131 | DOI:10.1007/s00220-012-1629-2
- Function spaces between BMO and critical Sobolev spaces, Journal of Functional Analysis, Volume 236 (2006) no. 2, p. 490 | DOI:10.1016/j.jfa.2006.03.011
Cité par 16 documents. Sources : Crossref
Commentaires - Politique
Vous devez vous connecter pour continuer.
S'authentifier