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
Dao, Nguyen Anh; Do, Anh Xuan; Tuan, Duy Nguyen; Lam, Nguyen Hardy type identities on \(\mathbb{R}^{n-k} \times (\mathbb{R}_+)^k\) via factorizations. (English) Zbl 07683063 Vietnam J. Math. 51, No. 2, 329-343 (2023). MSC: 26D10 46E35 35A23 PDFBibTeX XMLCite \textit{N. A. Dao} et al., Vietnam J. Math. 51, No. 2, 329--343 (2023; Zbl 07683063) Full Text: DOI
Cazacu, Cristian; Flynn, Joshua; Lam, Nguyen Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives. (English) Zbl 1521.81120 Calc. Var. Partial Differ. Equ. 62, No. 4, Paper No. 118, 26 p. (2023). MSC: 81S07 26D10 46E35 26D15 58A10 17B10 PDFBibTeX XMLCite \textit{C. Cazacu} et al., Calc. Var. Partial Differ. Equ. 62, No. 4, Paper No. 118, 26 p. (2023; Zbl 1521.81120) Full Text: DOI arXiv
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen; Mazumdar, Saikat Hardy’s identities and inequalities on Cartan-Hadamard manifolds. (English) Zbl 1505.26031 J. Geom. Anal. 33, No. 1, Paper No. 27, 34 p. (2023). MSC: 26D10 31C12 46E35 53C21 PDFBibTeX XMLCite \textit{J. Flynn} et al., J. Geom. Anal. 33, No. 1, Paper No. 27, 34 p. (2023; Zbl 1505.26031) Full Text: DOI arXiv
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds. (English) Zbl 1509.46024 J. Funct. Anal. 283, No. 12, Article ID 109714, 37 p. (2022). MSC: 46E36 26D10 35J20 53C21 PDFBibTeX XMLCite \textit{J. Flynn} et al., J. Funct. Anal. 283, No. 12, Article ID 109714, 37 p. (2022; Zbl 1509.46024) Full Text: DOI
Cazacu, Cristian; Flynn, Joshua; Nguyen Lam Sharp second order uncertainty principles. (English) Zbl 1513.81089 J. Funct. Anal. 283, No. 10, Article ID 109659, 37 p. (2022). MSC: 81S07 26D10 46E35 26D15 58A10 PDFBibTeX XMLCite \textit{C. Cazacu} et al., J. Funct. Anal. 283, No. 10, Article ID 109659, 37 p. (2022; Zbl 1513.81089) Full Text: DOI arXiv
Dao, Anh Nguyen; Lam, Nguyen; Lu, Guozhen Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-\(L^{\infty}\) spaces. (English) Zbl 1497.46035 Proc. Am. Math. Soc. 150, No. 7, 2889-2900 (2022). Reviewer: Alberto Fiorenza (Napoli) MSC: 46E30 46E35 42B35 26D10 35A23 PDFBibTeX XMLCite \textit{A. N. Dao} et al., Proc. Am. Math. Soc. 150, No. 7, 2889--2900 (2022; Zbl 1497.46035) Full Text: DOI
Duy, Nguyen Tuan; Lam, Nguyen; Lu, Guozhen \(p\)-Bessel pairs, Hardy’s identities and inequalities and Hardy-Sobolev inequalities with monomial weights. (English) Zbl 1482.42058 J. Geom. Anal. 32, No. 4, Paper No. 109, 36 p. (2022). MSC: 42B35 42B37 26D10 46E35 35A23 PDFBibTeX XMLCite \textit{N. T. Duy} et al., J. Geom. Anal. 32, No. 4, Paper No. 109, 36 p. (2022; Zbl 1482.42058) Full Text: DOI
Duy, Nguyen Tuan; Lam, Nguyen; Phi, Le Long Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives. (English) Zbl 1486.26030 Rev. Mat. Complut. 35, No. 1, 1-23 (2022). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{N. T. Duy} et al., Rev. Mat. Complut. 35, No. 1, 1--23 (2022; Zbl 1486.26030) Full Text: DOI
Dao, Nguyen Anh; Lam, Nguyen; Lu, Guozhen Gagliardo-Nirenberg and Sobolev interpolation inequalities on Besov spaces. (English) Zbl 1491.46022 Proc. Am. Math. Soc. 150, No. 2, 605-616 (2022). MSC: 46E35 46B70 PDFBibTeX XMLCite \textit{N. A. Dao} et al., Proc. Am. Math. Soc. 150, No. 2, 605--616 (2022; Zbl 1491.46022) Full Text: DOI
Nguyen Tuan Duy; Nguyen Lam; Le Long Phi Some Hardy identities on half-spaces. (English) Zbl 07747393 Math. Nachr. 294, No. 12, 2317-2328 (2021). MSC: 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{Nguyen Tuan Duy} et al., Math. Nachr. 294, No. 12, 2317--2328 (2021; Zbl 07747393) Full Text: DOI
Duy, Nguyen Tuan; Lam, Nguyen; Le, Phi Long Sharp affine Trudinger-Moser inequalities: a new argument. (English) Zbl 1490.46031 Can. Math. Bull. 64, No. 4, 765-778 (2021). MSC: 46E35 35A23 52A40 PDFBibTeX XMLCite \textit{N. T. Duy} et al., Can. Math. Bull. 64, No. 4, 765--778 (2021; Zbl 1490.46031) Full Text: DOI
Cazacu, Cristian; Flynn, Joshua; Lam, Nguyen Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1499.81063 J. Differ. Equations 302, 533-549 (2021). MSC: 81S07 26D10 46E35 26D15 PDFBibTeX XMLCite \textit{C. Cazacu} et al., J. Differ. Equations 302, 533--549 (2021; Zbl 1499.81063) Full Text: DOI arXiv
Flynn, Joshua; Lam, Nguyen; Lu, Guozhen Sharp Hardy identities and inequalities on Carnot groups. (English) Zbl 1479.43012 Adv. Nonlinear Stud. 21, No. 2, 281-302 (2021). MSC: 43A80 43A15 42B35 46E35 35J15 26D10 22E30 PDFBibTeX XMLCite \textit{J. Flynn} et al., Adv. Nonlinear Stud. 21, No. 2, 281--302 (2021; Zbl 1479.43012) Full Text: DOI
Duy, Nguyen Tuan; Lam, Nguyen; Phi, Le Long A note on the second order geometric Rellich inequality on half-space. (English) Zbl 1468.26012 Monatsh. Math. 195, No. 2, 233-248 (2021). Reviewer: Meng Qu (Wuhu) MSC: 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{N. T. Duy} et al., Monatsh. Math. 195, No. 2, 233--248 (2021; Zbl 1468.26012) Full Text: DOI
Lam, Nguyen Sharp weighted isoperimetric and Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1467.26016 Adv. Calc. Var. 14, No. 2, 153-169 (2021). Reviewer: Constantin Niculescu (Craiova) MSC: 26D15 46E35 PDFBibTeX XMLCite \textit{N. Lam}, Adv. Calc. Var. 14, No. 2, 153--169 (2021; Zbl 1467.26016) Full Text: DOI
Dao, Nguyen Anh; Krantz, Steven G.; Lam, Nguyen Cauchy integral commutators and Hardy factorization on Lorentz spaces. (English) Zbl 1459.42018 J. Math. Anal. Appl. 498, No. 1, Article ID 124926, 23 p. (2021). MSC: 42B20 46E35 47G10 PDFBibTeX XMLCite \textit{N. A. Dao} et al., J. Math. Anal. Appl. 498, No. 1, Article ID 124926, 23 p. (2021; Zbl 1459.42018) Full Text: DOI
Duy, Nguyen Tuan; Lam, Nguyen; Triet, Nguyen Anh; Yin, Weijia Improved Hardy inequalities with exact remainder terms. (English) Zbl 1454.26022 Math. Inequal. Appl. 23, No. 4, 1205-1226 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{N. T. Duy} et al., Math. Inequal. Appl. 23, No. 4, 1205--1226 (2020; Zbl 1454.26022) Full Text: DOI
Lam, Nguyen; Lu, Guozhen; Zhang, Lu Geometric Hardy’s inequalities with general distance functions. (English) Zbl 1473.35014 J. Funct. Anal. 279, No. 8, Article ID 108673, 34 p. (2020). Reviewer: Praveen Agarwal (Jaipur) MSC: 35A23 PDFBibTeX XMLCite \textit{N. Lam} et al., J. Funct. Anal. 279, No. 8, Article ID 108673, 34 p. (2020; Zbl 1473.35014) Full Text: DOI
Lam, Nguyen; Maalaoui, Ali; Pinamonti, Andrea Characterizations of anisotropic high order Sobolev spaces. (English) Zbl 1441.46026 Asymptotic Anal. 113, No. 4, 239-260 (2019). MSC: 46E35 PDFBibTeX XMLCite \textit{N. Lam} et al., Asymptotic Anal. 113, No. 4, 239--260 (2019; Zbl 1441.46026) Full Text: DOI arXiv
Lam, Nguyen; Lu, Guozhen; Zhang, Lu Factorizations and Hardy’s type identities and inequalities on upper half spaces. (English) Zbl 1435.26015 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 183, 31 p. (2019). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{N. Lam} et al., Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 183, 31 p. (2019; Zbl 1435.26015) Full Text: DOI
Lam, Nguyen; Lu, Guozhen; Zhang, Lu Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. (English) Zbl 1421.35008 Adv. Math. 352, 1253-1298 (2019). MSC: 35A23 26D10 42B35 46E30 46E35 PDFBibTeX XMLCite \textit{N. Lam} et al., Adv. Math. 352, 1253--1298 (2019; Zbl 1421.35008) Full Text: DOI
Lam, Nguyen General sharp weighted Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1423.26029 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 3, 691-718 (2019). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26D10 46E35 PDFBibTeX XMLCite \textit{N. Lam}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 3, 691--718 (2019; Zbl 1423.26029) Full Text: DOI
Lam, Nguyen; Lu, Guozhen; Zhang, Lu Sharp singular Trudinger-Moser inequalities under different norms. (English) Zbl 1421.35007 Adv. Nonlinear Stud. 19, No. 2, 239-261 (2019). MSC: 35A23 26D10 42B35 46E35 PDFBibTeX XMLCite \textit{N. Lam} et al., Adv. Nonlinear Stud. 19, No. 2, 239--261 (2019; Zbl 1421.35007) Full Text: DOI
Nguyen, Tuan Duy; Lam-Hoang, Nguyen; Nguyen, Anh Triet Hardy-Rellich identities with Bessel pairs. (English) Zbl 1414.26035 Arch. Math. 113, No. 1, 95-112 (2019). MSC: 26D10 35A23 46E35 PDFBibTeX XMLCite \textit{T. D. Nguyen} et al., Arch. Math. 113, No. 1, 95--112 (2019; Zbl 1414.26035) Full Text: DOI
Nguyen Lam Optimizers for the singular Trudinger-Moser inequalities in the critical case in \(\mathbb R^2\). (English) Zbl 1404.35007 Math. Nachr. 291, No. 14-15, 2272-2287 (2018). MSC: 35A23 26D15 46E35 PDFBibTeX XMLCite \textit{Nguyen Lam}, Math. Nachr. 291, No. 14--15, 2272--2287 (2018; Zbl 1404.35007) Full Text: DOI
Lam, Nguyen; Lu, Guozhen Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities. (English) Zbl 1392.26029 J. Geom. Anal. 28, No. 2, 1687-1715 (2018). MSC: 26D10 46E35 PDFBibTeX XMLCite \textit{N. Lam} and \textit{G. Lu}, J. Geom. Anal. 28, No. 2, 1687--1715 (2018; Zbl 1392.26029) Full Text: DOI
Dong, Mengxia; Nguyen Lam; Lu, Guozhen Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. (English) Zbl 1397.46027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 173, 75-98 (2018). MSC: 46E35 26D15 PDFBibTeX XMLCite \textit{M. Dong} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 173, 75--98 (2018; Zbl 1397.46027) Full Text: DOI
Lam, Nguyen Hardy and Hardy-Rellich type inequalities with Bessel pairs. (English) Zbl 1388.26012 Ann. Acad. Sci. Fenn., Math. 43, No. 1, 211-223 (2018). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 26D10 46E35 35A23 PDFBibTeX XMLCite \textit{N. Lam}, Ann. Acad. Sci. Fenn., Math. 43, No. 1, 211--223 (2018; Zbl 1388.26012) Full Text: DOI Link
Lam, Nguyen; Lu, Guozhen; Zhang, Lu Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. (English) Zbl 1387.46034 Rev. Mat. Iberoam. 33, No. 4, 1219-1246 (2017). MSC: 46E35 46E30 42B35 42B37 PDFBibTeX XMLCite \textit{N. Lam} et al., Rev. Mat. Iberoam. 33, No. 4, 1219--1246 (2017; Zbl 1387.46034) Full Text: DOI arXiv
Lam, Nguyen Sharp Trudinger-Moser inequalities with monomial weights. (English) Zbl 1375.35012 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 39, 21 p. (2017). MSC: 35A23 26D15 46E35 46E30 PDFBibTeX XMLCite \textit{N. Lam}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 39, 21 p. (2017; Zbl 1375.35012) Full Text: DOI
Nguyen Lam Maximizers for the singular Trudinger-Moser inequalities in the subcritical cases. (English) Zbl 1378.35009 Proc. Am. Math. Soc. 145, No. 11, 4885-4892 (2017). MSC: 35A23 26D15 46E35 PDFBibTeX XMLCite \textit{Nguyen Lam}, Proc. Am. Math. Soc. 145, No. 11, 4885--4892 (2017; Zbl 1378.35009) Full Text: DOI
Lam, Nguyen; Lu, Guozhen Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1367.26035 Adv. Nonlinear Stud. 17, No. 3, 457-480 (2017). MSC: 26D10 46E35 PDFBibTeX XMLCite \textit{N. Lam} and \textit{G. Lu}, Adv. Nonlinear Stud. 17, No. 3, 457--480 (2017; Zbl 1367.26035) Full Text: DOI arXiv
Lam, Nguyen; Lu, Guozhen; Tang, Hanli Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. (English) Zbl 1372.46027 J. Geom. Anal. 27, No. 1, 300-334 (2017). MSC: 46E35 35J30 46E30 PDFBibTeX XMLCite \textit{N. Lam} et al., J. Geom. Anal. 27, No. 1, 300--334 (2017; Zbl 1372.46027) Full Text: DOI
Lam, Nguyen Equivalence of sharp Trudinger-Moser-Adams inequalities. (English) Zbl 1364.35014 Commun. Pure Appl. Anal. 16, No. 3, 973-997 (2017). MSC: 35A23 26D15 46E35 46E30 PDFBibTeX XMLCite \textit{N. Lam}, Commun. Pure Appl. Anal. 16, No. 3, 973--997 (2017; Zbl 1364.35014) Full Text: DOI
Lam, Nguyen Sharp subcritical and critical Trudinger-Moser inequalities on \(\mathbb{R}^{2}\) and their extremal functions. (English) Zbl 1356.35021 Potential Anal. 46, No. 1, 75-103 (2017). MSC: 35A23 46E35 PDFBibTeX XMLCite \textit{N. Lam}, Potential Anal. 46, No. 1, 75--103 (2017; Zbl 1356.35021) Full Text: DOI
Lam, Nguyen; Lu, Guozhen Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. (English) Zbl 1338.35016 Citti, Giovanna (ed.) et al., Geometric methods in PDE’s. Cham: Springer (ISBN 978-3-319-02665-7/hbk; 978-3-319-02666-4/ebook). Springer INdAM Series 13, 43-80 (2015). MSC: 35A23 26D10 46E35 PDFBibTeX XMLCite \textit{N. Lam} and \textit{G. Lu}, Springer INdAM Ser. 13, 43--80 (2015; Zbl 1338.35016) Full Text: DOI
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen Characterizations of second order Sobolev spaces. (English) Zbl 1339.46030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 241-261 (2015). MSC: 46E35 PDFBibTeX XMLCite \textit{X. Cui} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 241--261 (2015; Zbl 1339.46030) Full Text: DOI
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen New characterizations of Sobolev spaces on the Heisenberg group. (English) Zbl 1316.46033 J. Funct. Anal. 267, No. 8, 2962-2994 (2014). MSC: 46E35 PDFBibTeX XMLCite \textit{X. Cui} et al., J. Funct. Anal. 267, No. 8, 2962--2994 (2014; Zbl 1316.46033) Full Text: DOI
Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups. (English) Zbl 1299.46032 Appl. Math., Ser. B (Engl. Ed.) 28, No. 4, 531-547 (2013). MSC: 46E35 PDFBibTeX XMLCite \textit{X. Cui} et al., Appl. Math., Ser. B (Engl. Ed.) 28, No. 4, 531--547 (2013; Zbl 1299.46032) Full Text: DOI
Lam, Nguyen; Lu, Guozhen A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. (English) Zbl 1294.46034 J. Differ. Equations 255, No. 3, 298-325 (2013). Reviewer: Raymond Johnson (Houston) MSC: 46E35 46E30 26D15 PDFBibTeX XMLCite \textit{N. Lam} and \textit{G. Lu}, J. Differ. Equations 255, No. 3, 298--325 (2013; Zbl 1294.46034) Full Text: DOI
Lam, Nguyen; Lu, Guozhen The Moser-Trudinger and Adams inequalities and elliptic and subelliptic equations with nonlinearity of exponential growth. (English) Zbl 1317.35018 Dong, Yuxin (ed.) et al., Recent developments in geometry and analysis. Special volume dedicated to Zhengguo Bai on the occasion of his 95th birthday and to Yibing Shen on the occasion of his 70th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-250-3/pbk). Advanced Lectures in Mathematics (ALM) 23, 179-251 (2012). MSC: 35H20 35A23 35J20 35J60 35J92 35R03 46E35 PDFBibTeX XMLCite \textit{N. Lam} and \textit{G. Lu}, Adv. Lect. Math. (ALM) 23, 179--251 (2012; Zbl 1317.35018)
Nguyen Lam; Lu, Guozhen Sharp singular Adams inequalities in high order Sobolev spaces. (English) Zbl 1319.46027 Methods Appl. Anal. 19, No. 3, 243-266 (2012). Reviewer: Luz Roncal (Logroño) MSC: 46E35 42B37 42B35 35J62 26D10 PDFBibTeX XMLCite \textit{Nguyen Lam} and \textit{G. Lu}, Methods Appl. Anal. 19, No. 3, 243--266 (2012; Zbl 1319.46027) Full Text: DOI arXiv
Lam, Nguyen; Lu, Guozhen Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\). (English) Zbl 1259.46029 J. Differ. Equations 253, No. 4, 1143-1171 (2012). Reviewer: George O. Okikiolu (London) MSC: 46E35 35B33 PDFBibTeX XMLCite \textit{N. Lam} and \textit{G. Lu}, J. Differ. Equations 253, No. 4, 1143--1171 (2012; Zbl 1259.46029) Full Text: DOI arXiv