Cazacu, Cristian; Flynn, Joshua; Lam, Nguyen; Lu, Guozhen Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities. (English. French summary) Zbl 07800986 J. Math. Pures Appl. (9) 182, 253-284 (2024). MSC: 81S07 26D10 35B35 46E35 26D15 PDFBibTeX XMLCite \textit{C. Cazacu} et al., J. Math. Pures Appl. (9) 182, 253--284 (2024; Zbl 07800986) Full Text: DOI arXiv
Dovetta, Simone; Tentarelli, Lorenzo Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover. (English) Zbl 1486.35007 J. Math. Pures Appl. (9) 160, 99-157 (2022). Reviewer: Guido Schneider (Stuttgart) MSC: 35A23 35R02 35Q40 35Q55 81Q35 49J40 PDFBibTeX XMLCite \textit{S. Dovetta} and \textit{L. Tentarelli}, J. Math. Pures Appl. (9) 160, 99--157 (2022; Zbl 1486.35007) Full Text: DOI arXiv
Fiorenza, A.; Gogatishvili, A.; Nekvinda, A.; Rakotoson, J. M. Remarks on compactness results for variable exponent spaces \(L^{p(\cdot)}\). (English. French summary) Zbl 1486.46037 J. Math. Pures Appl. (9) 157, 136-144 (2022). Reviewer: Şerban Costea (Piteşti) MSC: 46E30 46E35 26D15 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., J. Math. Pures Appl. (9) 157, 136--144 (2022; Zbl 1486.46037) Full Text: DOI
Guillin, Arnaud; Liu, Wei; Wu, Liming; Zhang, Chaoen The kinetic Fokker-Planck equation with mean field interaction. (English. French summary) Zbl 1480.60235 J. Math. Pures Appl. (9) 150, 1-23 (2021). MSC: 60J60 46E35 35B40 35Q84 PDFBibTeX XMLCite \textit{A. Guillin} et al., J. Math. Pures Appl. (9) 150, 1--23 (2021; Zbl 1480.60235) Full Text: DOI arXiv
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka Fractional Orlicz-Sobolev embeddings. (English. French summary) Zbl 1472.46034 J. Math. Pures Appl. (9) 149, 216-253 (2021). MSC: 46E35 46E30 35R11 PDFBibTeX XMLCite \textit{A. Alberico} et al., J. Math. Pures Appl. (9) 149, 216--253 (2021; Zbl 1472.46034) Full Text: DOI arXiv
Liu, Liguang; Xiao, Jie Morrey’s fractional integrals in Campanato-Sobolev’s space and \(\operatorname{div}F=f\). (English. French summary) Zbl 1462.46041 J. Math. Pures Appl. (9) 142, 23-57 (2020). MSC: 46E35 26A33 31C15 35A23 42B35 PDFBibTeX XMLCite \textit{L. Liu} and \textit{J. Xiao}, J. Math. Pures Appl. (9) 142, 23--57 (2020; Zbl 1462.46041) Full Text: DOI
Carrillo, José A.; Delgadino, Matías G.; Dolbeault, Jean; Frank, Rupert L.; Hoffmann, Franca Reverse Hardy-Littlewood-Sobolev inequalities. (English. French summary) Zbl 1442.35011 J. Math. Pures Appl. (9) 132, 133-165 (2019). Reviewer: Shuangjie Peng (Wuhan) MSC: 35A23 26D15 35K55 46E35 49J40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Math. Pures Appl. (9) 132, 133--165 (2019; Zbl 1442.35011) Full Text: DOI arXiv
Ciarlet, Philippe G.; Mardare, Cristinel A surface in \(W^{2,p}\) is a locally Lipschitz-continuous function of its fundamental forms in \(W^{1,p}\) and \(L^p\), \(p>2\). (Une surface dans \(W^{2,p}\) est une fonction localement Lipschitz-continue de ses formes fondamentales dans \(W^{1,p}\) and \(L^p\), \(p>2\).) (English. French summary) Zbl 1411.53008 J. Math. Pures Appl. (9) 124, 300-318 (2019). MSC: 53A05 46E35 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{C. Mardare}, J. Math. Pures Appl. (9) 124, 300--318 (2019; Zbl 1411.53008) Full Text: DOI
Björn, Anders; Björn, Jana Local and semilocal Poincaré inequalities on metric spaces. (English. French summary) Zbl 1407.31006 J. Math. Pures Appl. (9) 119, 158-192 (2018). Reviewer: Thomas Zürcher (Katowice) MSC: 31E05 30L99 31C45 35J60 46E35 26D10 PDFBibTeX XMLCite \textit{A. Björn} and \textit{J. Björn}, J. Math. Pures Appl. (9) 119, 158--192 (2018; Zbl 1407.31006) Full Text: DOI arXiv
Barbatis, G.; Filippas, S.; Tertikas, A. Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary. (English. French summary) Zbl 1395.35004 J. Math. Pures Appl. (9) 117, 146-184 (2018). MSC: 35A23 35J20 35J75 46E35 26D10 35J60 PDFBibTeX XMLCite \textit{G. Barbatis} et al., J. Math. Pures Appl. (9) 117, 146--184 (2018; Zbl 1395.35004) Full Text: DOI arXiv
Brock, F.; Chiacchio, F.; Mercaldo, A. An isoperimetric inequality for Gauss-like product measures. (English. French summary) Zbl 1356.49072 J. Math. Pures Appl. (9) 106, No. 2, 375-391 (2016). Reviewer: Bohumír Opic (Praha) MSC: 49Q05 35J70 46E35 PDFBibTeX XMLCite \textit{F. Brock} et al., J. Math. Pures Appl. (9) 106, No. 2, 375--391 (2016; Zbl 1356.49072) Full Text: DOI arXiv
Barthe, Franck; Ma, Yutao; Zhang, Zhengliang Logarithmic Sobolev inequalities for harmonic measures on spheres. (English) Zbl 1298.58011 J. Math. Pures Appl. (9) 102, No. 1, 234-248 (2014). MSC: 58C35 60E15 PDFBibTeX XMLCite \textit{F. Barthe} et al., J. Math. Pures Appl. (9) 102, No. 1, 234--248 (2014; Zbl 1298.58011) Full Text: DOI
Bonforte, Matteo; Grillo, Gabriele; Vazquez, Juan Luis Behaviour near extinction for the fast diffusion equation on bounded domains. (English) Zbl 1241.35013 J. Math. Pures Appl. (9) 97, No. 1, 1-38 (2012). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B33 35B40 46E35 35K20 35K65 PDFBibTeX XMLCite \textit{M. Bonforte} et al., J. Math. Pures Appl. (9) 97, No. 1, 1--38 (2012; Zbl 1241.35013) Full Text: DOI arXiv
Wang, Feng-Yu From super Poincaré to weighted log-Sobolev and entropy-cost inequalities. (English) Zbl 1155.60009 J. Math. Pures Appl. (9) 90, No. 3, 270-285 (2008). Reviewer: Heinrich Hering (Rockenberg) MSC: 60E15 60J60 58J65 PDFBibTeX XMLCite \textit{F.-Y. Wang}, J. Math. Pures Appl. (9) 90, No. 3, 270--285 (2008; Zbl 1155.60009) Full Text: DOI arXiv
Fiorenza, A.; Rakotoson, J. M. Relative rearrangement and Lebesgue spaces \(L^p(\cdot)\) with variable exponent. (English) Zbl 1137.46016 J. Math. Pures Appl. (9) 88, No. 6, 506-521 (2007). Reviewer: Stefan G. Samko (Faro) MSC: 46E30 26D07 PDFBibTeX XMLCite \textit{A. Fiorenza} and \textit{J. M. Rakotoson}, J. Math. Pures Appl. (9) 88, No. 6, 506--521 (2007; Zbl 1137.46016) Full Text: DOI
Filippas, S.; Maz’ya, V.; Tertikas, A. Critical Hardy–Sobolev inequalities. (English) Zbl 1151.35368 J. Math. Pures Appl. (9) 87, No. 1, 37-56 (2007). MSC: 35J65 46E35 26D10 58J05 PDFBibTeX XMLCite \textit{S. Filippas} et al., J. Math. Pures Appl. (9) 87, No. 1, 37--56 (2007; Zbl 1151.35368) Full Text: DOI arXiv
Biezuner, Rodney Josué; Montenegro, Marcos Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications. (English) Zbl 1043.58010 J. Math. Pures Appl., IX. Sér. 82, No. 4, 457-502 (2003). Reviewer: Christian Bär (Potsdam) MSC: 58J05 35B33 PDFBibTeX XMLCite \textit{R. J. Biezuner} and \textit{M. Montenegro}, J. Math. Pures Appl. (9) 82, No. 4, 457--502 (2003; Zbl 1043.58010) Full Text: DOI
Del Pino, Manuel; Dolbeault, Jean Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. (English) Zbl 1112.35310 J. Math. Pures Appl. (9) 81, No. 9, 847-875 (2002). MSC: 35J20 35J85 49J40 35K57 46E35 PDFBibTeX XMLCite \textit{M. Del Pino} and \textit{J. Dolbeault}, J. Math. Pures Appl. (9) 81, No. 9, 847--875 (2002; Zbl 1112.35310) Full Text: DOI
Caraffa, Daniela Elliptic equations of fourth-order with critical exponents on compact Riemannian manifolds. (Équations elliptiques du quatrième ordre avec exposants critiques sur les variétés riemanniennes compactes.) (French) Zbl 1031.58010 J. Math. Pures Appl., IX. Sér. 80, No. 9, 941-960 (2001). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58J05 35B33 35J60 PDFBibTeX XMLCite \textit{D. Caraffa}, J. Math. Pures Appl. (9) 80, No. 9, 941--960 (2001; Zbl 1031.58010) Full Text: DOI
Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel Hypercontractivity of Hamilton-Jacobi equations. (English) Zbl 1038.35020 J. Math. Pures Appl. (9) 80, No. 7, 669-696 (2001). Reviewer: Marius Iosifescu (Bucureşti) MSC: 35F20 47D07 70H20 60E15 35K05 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., J. Math. Pures Appl. (9) 80, No. 7, 669--696 (2001; Zbl 1038.35020) Full Text: DOI
Bournaveas, Nikolaos; Perthame, Benoit Averages over spheres for kinetic transport equations; hyperbolic Sobolev spaces and Strichartz inequalities. (English) Zbl 1036.82023 J. Math. Pures Appl. (9) 80, No. 5, 517-534 (2001). Reviewer: Luigi Barletti (Firenze) MSC: 82C70 35F10 46E35 35B45 PDFBibTeX XMLCite \textit{N. Bournaveas} and \textit{B. Perthame}, J. Math. Pures Appl. (9) 80, No. 5, 517--534 (2001; Zbl 1036.82023) Full Text: DOI
Hebey, E. Extremal functions for an optimal Sobolev inequality in the conformal class of the sphere. (Fonctions extrémales pour une inégalité de Sobolev optimale dans la classe conforme de la sphère.) (French) Zbl 0914.53026 J. Math. Pures Appl., IX. Sér. 77, No. 7, 721-733 (1998). Reviewer: Thierry Aubin (Paris) MSC: 53C21 58J60 PDFBibTeX XMLCite \textit{E. Hebey}, J. Math. Pures Appl. (9) 77, No. 7, 721--733 (1998; Zbl 0914.53026) Full Text: DOI
Franchi, Bruno; Lanconelli, Ermanno Une condition géométrique pour l’inégalité de Harnack. (A geometric condition for Harnack’s inequality). (French) Zbl 0599.35134 J. Math. Pures Appl., IX. Sér. 64, 237-256 (1985). Reviewer: M.Merigot MSC: 35R45 35J70 35J15 46E35 PDFBibTeX XMLCite \textit{B. Franchi} and \textit{E. Lanconelli}, J. Math. Pures Appl. (9) 64, 237--256 (1985; Zbl 0599.35134)