Poincaré inequality (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Poincaré inequality" in English language version.

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9doi.org

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Garroni, Adriana; Müller, Stefan (2005). "Γ-limit of a phase-field model of dislocations". SIAM J. Math. Anal. 36 (6): 1943–1964 (electronic). doi:10.1137/S003614100343768X. MR2178227
Kikuchi, Fumio; Liu, Xuefeng (2007), "Estimation of interpolation error constants for the P0 and P1 triangular finite elements", Comput. Methods. Appl. Mech. Engrg., 196 (37–40): 3750–3758, Bibcode:2007CMAME.196.3750K, doi:10.1016/j.cma.2006.10.029 MR2340000

arxiv.org

Drelichman, Irene; Durán, Ricardo G. (2018). "Improved Poincaré inequalities in fractional Sobolev spaces". Annales Academiæ Scientiarum Fennicæ. 43 (2): 885–903. arXiv:1705.04227. doi:10.5186/aasfm.2018.4352.

doi.org

Poincaré, H. (1890). "Sur les Equations aux Dérivées Partielles de la Physique Mathématique". American Journal of Mathematics. 12 (3). Equation (11) page 253. doi:10.2307/2369620. ISSN 0002-9327. JSTOR 2369620.
Heinonen, J.; Koskela, P. (1998). "Quasiconformal maps in metric spaces with controlled geometry". Acta Mathematica. 181: 1–61. doi:10.1007/BF02392747. ISSN 1871-2509.
Cheeger, J. (1 August 1999). "Differentiability of Lipschitz functions on metric measure spaces". Geometric and Functional Analysis. 9 (3): 428–517. doi:10.1007/s000390050094. S2CID 120149485.
Garroni, Adriana; Müller, Stefan (2005). "Γ-limit of a phase-field model of dislocations". SIAM J. Math. Anal. 36 (6): 1943–1964 (electronic). doi:10.1137/S003614100343768X. MR2178227
Acosta, Gabriel; Durán, Ricardo G. (2004). "An optimal Poincaré inequality in L¹ for convex domains". Proceedings of the American Mathematical Society. 132 (1): 195–202 (electronic). doi:10.1090/S0002-9939-03-07004-7.
Payne, L. E.; Weinberger, H. F. (1960). "An optimal Poincaré inequality for convex domains". Archive for Rational Mechanics and Analysis. 5 (1): 286–292. Bibcode:1960ArRMA...5..286P. doi:10.1007/BF00252910. ISSN 0003-9527. S2CID 121881343.
Kikuchi, Fumio; Liu, Xuefeng (2007), "Estimation of interpolation error constants for the P0 and P1 triangular finite elements", Comput. Methods. Appl. Mech. Engrg., 196 (37–40): 3750–3758, Bibcode:2007CMAME.196.3750K, doi:10.1016/j.cma.2006.10.029 MR2340000
Drelichman, Irene; Durán, Ricardo G. (2018). "Improved Poincaré inequalities in fractional Sobolev spaces". Annales Academiæ Scientiarum Fennicæ. 43 (2): 885–903. arXiv:1705.04227. doi:10.5186/aasfm.2018.4352.
Bourgain, Jean; Brezis, Haïm; Mironescu, Petru (2002). "Limiting embedding theorems for $W^{s,p}$ when $s\uparrow 1$ and applications". Journal d'Analyse Mathématique. 87: 77–101. doi:10.1007/BF02868470.

harvard.edu

ui.adsabs.harvard.edu

Payne, L. E.; Weinberger, H. F. (1960). "An optimal Poincaré inequality for convex domains". Archive for Rational Mechanics and Analysis. 5 (1): 286–292. Bibcode:1960ArRMA...5..286P. doi:10.1007/BF00252910. ISSN 0003-9527. S2CID 121881343.
Kikuchi, Fumio; Liu, Xuefeng (2007), "Estimation of interpolation error constants for the P0 and P1 triangular finite elements", Comput. Methods. Appl. Mech. Engrg., 196 (37–40): 3750–3758, Bibcode:2007CMAME.196.3750K, doi:10.1016/j.cma.2006.10.029 MR2340000

jstor.org

Poincaré, H. (1890). "Sur les Equations aux Dérivées Partielles de la Physique Mathématique". American Journal of Mathematics. 12 (3). Equation (11) page 253. doi:10.2307/2369620. ISSN 0002-9327. JSTOR 2369620.

maze5.net

Alger, Nick. "L1 Poincare Inequality". Archived from the original on March 3, 2012.

semanticscholar.org

api.semanticscholar.org

Cheeger, J. (1 August 1999). "Differentiability of Lipschitz functions on metric measure spaces". Geometric and Functional Analysis. 9 (3): 428–517. doi:10.1007/s000390050094. S2CID 120149485.
Payne, L. E.; Weinberger, H. F. (1960). "An optimal Poincaré inequality for convex domains". Archive for Rational Mechanics and Analysis. 5 (1): 286–292. Bibcode:1960ArRMA...5..286P. doi:10.1007/BF00252910. ISSN 0003-9527. S2CID 121881343.

web.archive.org

Alger, Nick. "L1 Poincare Inequality". Archived from the original on March 3, 2012.

worldcat.org

search.worldcat.org

Poincaré, H. (1890). "Sur les Equations aux Dérivées Partielles de la Physique Mathématique". American Journal of Mathematics. 12 (3). Equation (11) page 253. doi:10.2307/2369620. ISSN 0002-9327. JSTOR 2369620.
Heinonen, J.; Koskela, P. (1998). "Quasiconformal maps in metric spaces with controlled geometry". Acta Mathematica. 181: 1–61. doi:10.1007/BF02392747. ISSN 1871-2509.
Payne, L. E.; Weinberger, H. F. (1960). "An optimal Poincaré inequality for convex domains". Archive for Rational Mechanics and Analysis. 5 (1): 286–292. Bibcode:1960ArRMA...5..286P. doi:10.1007/BF00252910. ISSN 0003-9527. S2CID 121881343.