Works matching AU Lu, Guozhen

Results: 81

Conformally covariant boundary operators and sharp higher order CR Sobolev trace inequalities on the Siegel domain and complex ball.

Published in:

Journal für die Reine und Angewandte Mathematik, 2025, v. 2025, n. 824, p. 39, doi. 10.1515/crelle-2025-0017

By:

Flynn, Joshua;
Lu, Guozhen;
Yang, Qiaohua

Publication type:

Article

Preface for the special issue in honor of Robert Fefferman.

Published in:

Advanced Nonlinear Studies, 2025, v. 25, n. 2, p. 257, doi. 10.1515/ans-2023-0189

By:

Fefferman, Charles;
Lu, Guozhen

Publication type:

Article

A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type.

Published in:

IMRN: International Mathematics Research Notices, 1996, v. 1996, n. 1, p. 1, doi. 10.1155/S1073792896000013

By:

Franchi, Bruno;
Lu, Guozhen;
Wheeden, Richard L.

Publication type:

Article

Liouville-type theorems and decay estimates for solutions to higher order elliptic equations

Published in:

Annales de l'Institut Henri Poincaré C, 2012, v. 29, n. 5, p. 653, doi. 10.1016/j.anihpc.2012.02.004

By:

Lu, Guozhen;
Wang, Peiyong;
Zhu, Jiuyi

Publication type:

Article

Sharp Critical and Subcritical Trace Trudinger–Moser and Adams Inequalities on the Upper Half-Spaces.

Published in:

Journal of Geometric Analysis, 2022, v. 32, n. 7, p. 1, doi. 10.1007/s12220-022-00937-9

By:

Chen, Lu;
Lu, Guozhen;
Yang, Qiaohua;
Zhu, Maochun

Publication type:

Article

p-Bessel Pairs, Hardy's Identities and Inequalities and Hardy–Sobolev Inequalities with Monomial Weights.

Published in:

Journal of Geometric Analysis, 2022, v. 32, n. 4, p. 1, doi. 10.1007/s12220-021-00847-2

By:

Duy, Nguyen Tuan;
Lam, Nguyen;
Lu, Guozhen

Publication type:

Article

Sharpened Trudinger–Moser Inequalities on the Euclidean Space and Heisenberg Group.

Published in:

Journal of Geometric Analysis, 2021, v. 31, n. 12, p. 12155, doi. 10.1007/s12220-021-00713-1

By:

Chen, Lu;
Lu, Guozhen;
Zhu, Maochun

Publication type:

Article

Maximizers for Fractional Caffarelli–Kohn–Nirenberg and Trudinger–Moser Inequalities on the Fractional Sobolev Spaces.

Published in:

Journal of Geometric Analysis, 2021, v. 31, n. 4, p. 3556, doi. 10.1007/s12220-020-00406-1

By:

Chen, Lu;
Lu, Guozhen;
Zhang, Caifeng

Publication type:

Article

Weighted Moser-Onofri-Beckner and Logarithmic Sobolev Inequalities.

Published in:

Journal of Geometric Analysis, 2018, v. 28, n. 2, p. 1687, doi. 10.1007/s12220-017-9883-3

By:

Lam, Nguyen;
Lu, Guozhen

Publication type:

Article

Sharp Affine and Improved Moser-Trudinger-Adams Type Inequalities on Unbounded Domains in the Spirit of Lions.

Published in:

Journal of Geometric Analysis, 2017, v. 27, n. 1, p. 300, doi. 10.1007/s12220-016-9682-2

By:

Lam, Nguyen;
Lu, Guozhen;
Tang, Hanli

Publication type:

Article

Sharp Moser-Trudinger Inequalities on Hyperbolic Spaces with Exact Growth Condition.

Published in:

Journal of Geometric Analysis, 2016, v. 26, n. 2, p. 837, doi. 10.1007/s12220-015-9573-y

By:

Lu, Guozhen;
Tang, Hanli

Publication type:

Article

Boundedness of Singular Integrals in Journé's Class on Weighted Multiparameter Hardy Spaces.

Published in:

Journal of Geometric Analysis, 2014, v. 24, n. 4, p. 2186, doi. 10.1007/s12220-013-9421-x

By:

Han, Yongsheng;
Lu, Guozhen;
Ruan, Zhuoping

Publication type:

Article

Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti-Rabinowitz Condition.

Published in:

Journal of Geometric Analysis, 2014, v. 24, n. 1, p. 118, doi. 10.1007/s12220-012-9330-4

By:

Lam, Nguyen;
Lu, Guozhen

Publication type:

Article

Bounds of Singular Integrals on Weighted Hardy Spaces and Discrete Littlewood-Paley Analysis.

Published in:

Journal of Geometric Analysis, 2012, v. 22, n. 3, p. 666, doi. 10.1007/s12220-010-9209-1

By:

Lu, Guozhen;
Zhu, Yueping

Publication type:

Article

A sharp Hörmander estimate for multi-parameter and multi-linear Fourier multiplier operators.

Published in:

Mathematische Annalen, 2024, v. 390, n. 4, p. 5923, doi. 10.1007/s00208-024-02893-x

By:

Chen, Jiao;
He, Danqing;
Lu, Guozhen;
Park, Bae Jun;
Zhang, Lu

Publication type:

Article

Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces.

Published in:

Mathematische Annalen, 2002, v. 323, n. 1, p. 157, doi. 10.1007/s002080100301

By:

Liu, Yongping;
Lu, Guozhen;
Wheeden, Richard L.

Publication type:

Article

Lp-Hardy identities and inequalities with respect to the distance and mean distance to the boundary.

Published in:

Calculus of Variations & Partial Differential Equations, 2025, v. 64, n. 1, p. 1, doi. 10.1007/s00526-024-02880-9

By:

Flynn, Joshua;
Lam, Nguyen;
Lu, Guozhen

Publication type:

Article

Trudinger–Moser and Hardy–Trudinger–Moser inequalities for the Aharonov–Bohm magnetic field.

Published in:

Calculus of Variations & Partial Differential Equations, 2024, v. 63, n. 4, p. 1, doi. 10.1007/s00526-024-02709-5

By:

Lu, Guozhen;
Yang, Qiaohua

Publication type:

Article

Effects of NaOH/H 2 O 2 /Na 2 SiO 3 Bleaching Pretreatment Method on Wood Dyeing Properties.

Published in:

Coatings (2079-6412), 2023, v. 13, n. 2, p. 233, doi. 10.3390/coatings13020233

By:

Lu, Danting;
Xiong, Xianqing;
Lu, Guozhen;
Gui, Chengsheng;
Pang, Xiaoren

Publication type:

Article

Ten-eleven translocation 1 mediated-DNA hydroxymethylation is required for myelination and remyelination in the mouse brain.

Published in:

Nature Communications, 2021, v. 12, n. 1, p. 1, doi. 10.1038/s41467-021-25353-5

By:

Zhang, Ming;
Wang, Jian;
Zhang, Kaixiang;
Lu, Guozhen;
Liu, Yuming;
Ren, Keke;
Wang, Wenting;
Xin, Dazhuan;
Xu, Lingli;
Mao, Honghui;
Xing, Junlin;
Gao, Xingchun;
Jin, Weilin;
Berry, Kalen;
Mikoshiba, Katsuhiko;
Wu, Shengxi;
Lu, Q. Richard;
Zhao, Xianghui

Publication type:

Article

Hardy—Littlewood—Sobolev Inequalities with the Fractional Poisson Kernel and Their Applications in PDEs.

Published in:

Acta Mathematica Sinica, 2019, v. 35, n. 6, p. 853, doi. 10.1007/s10114-019-8417-2

By:

Chen, Lu;
Lu, Guozhen;
Tao, Chunxia

Publication type:

Article

Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group.

Published in:

Proceedings of the London Mathematical Society, 2023, v. 126, n. 2, p. 518, doi. 10.1112/plms.12495

By:

Chen, Lu;
Lu, Guozhen;
Zhu, Maochun

Publication type:

Article

Research on Children's Customized Furniture Design Based on Group Technology.

Published in:

Applied Sciences (2076-3417), 2021, v. 11, n. 23, p. 11371, doi. 10.3390/app112311371

By:

Xiong, Xianqing;
Lu, Guozhen;
Lu, Danting

Publication type:

Article

Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains.

Published in:

Discrete & Continuous Dynamical Systems: Series A, 2025, v. 45, n. 2, p. 1, doi. 10.3934/dcds.2024103

By:

Ó, João Marcos do;
Lu, Guozhen;
Ponciano, Raoní Cabral

Publication type:

Article

Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth.

Published in:

Calculus of Variations & Partial Differential Equations, 2024, v. 63, n. 1, p. 1, doi. 10.1007/s00526-023-02621-4

By:

Chen, Lu;
Lu, Guozhen;
Zhang, Caifeng

Publication type:

Article

Existence of extremals for Trudinger–Moser inequalities involved with a trapping potential.

Published in:

Calculus of Variations & Partial Differential Equations, 2023, v. 62, n. 5, p. 1, doi. 10.1007/s00526-023-02477-8

By:

Chen, Lu;
Lu, Guozhen;
Zhu, Maochun

Publication type:

Article

Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials.

Published in:

Calculus of Variations & Partial Differential Equations, 2023, v. 62, n. 2, p. 1, doi. 10.1007/s00526-022-02375-5

By:

Chen, Lu;
Lu, Guozhen;
Zhu, Maochun

Publication type:

Article

Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials.

Published in:

Calculus of Variations & Partial Differential Equations, 2020, v. 59, n. 6, p. 1, doi. 10.1007/s00526-020-01831-4

By:

Chen, Lu;
Lu, Guozhen;
Zhu, Maochun

Publication type:

Article

Factorizations and Hardy's type identities and inequalities on upper half spaces.

Published in:

Calculus of Variations & Partial Differential Equations, 2019, v. 58, n. 6, p. N.PAG, doi. 10.1007/s00526-019-1633-x

By:

Lam, Nguyen;
Lu, Guozhen;
Zhang, Lu

Publication type:

Article

Sharp weighted Trudinger–Moser–Adams inequalities on the whole space and the existence of their extremals.

Published in:

Calculus of Variations & Partial Differential Equations, 2019, v. 58, n. 4, p. N.PAG, doi. 10.1007/s00526-019-1580-6

By:

Chen, Lu;
Lu, Guozhen;
Zhang, Caifeng

Publication type:

Article

Viscosity solutions to inhomogeneous Aronsson's equations involving Hamiltonians ⟨A(x)p,p⟩.

Published in:

Calculus of Variations & Partial Differential Equations, 2019, v. 58, n. 1, p. 1, doi. 10.1007/s00526-018-1460-5

By:

Lu, Guozhen;
Miao, Qianyun;
Zhou, Yuan

Publication type:

Article

Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions.

Published in:

Calculus of Variations & Partial Differential Equations, 2018, v. 57, n. 3, p. 1, doi. 10.1007/s00526-018-1352-8

By:

Li, Jungang;
Lu, Guozhen;
Zhu, Maochun

Publication type:

Article

Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality.

Published in:

Calculus of Variations & Partial Differential Equations, 2011, v. 42, n. 3/4, p. 563, doi. 10.1007/s00526-011-0398-7

By:

Lu, Guozhen;
Zhu, Jiuyi

Publication type:

Article

Convex functions on the Heisenberg group.

Published in:

Calculus of Variations & Partial Differential Equations, 2003, v. 19, n. 1, p. 1, doi. 10.1007/s00526-003-0190-4

By:

Guozhen Lu;
Juan J. Manfredi;
Bianca Stroffolini

Publication type:

Article

Simultaneous Representation and Approximation Formulas and High-Order Sobolev Embedding Theorems on Stratified Groups.

Published in:

Constructive Approximation, 2004, v. 20, n. 4, p. 647, doi. 10.1007/s00365-003-0553-2

By:

Guozhen Lu;
Richard L. Wheeden

Publication type:

Article

Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on quaternionic hyperbolic spaces and on the Cayley hyperbolic plane.

Published in:

Revista Mathematica Iberoamericana, 2024, v. 40, n. 2, p. 403, doi. 10.4171/RMI/1444

By:

Flynn, Joshua;
Guozhen Lu;
Qiaohua Yang

Publication type:

Article

Stein-Weiss inequalities with the fractional Poisson kernel.

Published in:

Revista Mathematica Iberoamericana, 2020, v. 36, n. 5, p. 1289, doi. 10.4171/rmi/1167

By:

Lu Chen;
Zhao Liu;
Guozhen Lu;
Chunxia Tao

Publication type:

Article

Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness.

Published in:

Revista Mathematica Iberoamericana, 2018, v. 34, n. 4, p. 1541, doi. 10.4171/rmi/1035

By:

Jiao Chen;
Guozhen Lu

Publication type:

Article

Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities.

Published in:

Revista Mathematica Iberoamericana, 2017, v. 33, n. 4, p. 1219, doi. 10.4171/RMI/969

By:

Nguyen Lam;
Guozhen Lu;
Lu Zhang

Publication type:

Article

Bi-parameter and bilinear Calderón–Vaillancourt theorem with critical order.

Published in:

Forum Mathematicum, 2024, v. 36, n. 6, p. 1631, doi. 10.1515/forum-2023-0458

By:

Chen, Jiao;
Huang, Liang;
Lu, Guozhen

Publication type:

Article

Sharp Sobolev and Adams–Trudinger–Moser embeddings on weighted Sobolev spaces and their applications.

Published in:

Forum Mathematicum, 2024, v. 36, n. 5, p. 1279, doi. 10.1515/forum-2023-0292

By:

do Ó, João Marcos;
Lu, Guozhen;
Ponciano, Raoní

Publication type:

Article

Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators.

Published in:

Forum Mathematicum, 2022, v. 34, n. 6, p. 1679, doi. 10.1515/forum-2022-0192

By:

Ding, Wei;
Lu, Guozhen

Publication type:

Article

INFINITY LAPLACE EQUATION WITH NON-TRIVIAL RIGHT-HAND SIDE.

Published in:

Electronic Journal of Differential Equations, 2010, v. 2010, p. 1

By:

GUOZHEN LU;
PEIYONG WANG

Publication type:

Article

Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on \begin{document}$ \mathbb{S}^n $\end{document}.

Published in:

Communications on Pure & Applied Analysis, 2022, v. 21, n. 8, p. 2799, doi. 10.3934/cpaa.2022073

By:

Chen, Lu;
Lu, Guozhen;
Shen, Yansheng

Publication type:

Article

HARDY-SOBOLEV TYPE INTEGRAL SYSTEMS WITH DIRICHLET BOUNDARY CONDITIONS IN A HALF SPACE.

Published in:

Communications on Pure & Applied Analysis, 2017, v. 16, n. 4, p. 1253, doi. 10.3934/cpaa.2017061

By:

WEI DAI;
ZHAO LIU;
GUOZHEN LU

Publication type:

Article

L<sup>p</sup> BOUNDEDNESS FOR MAXIMAL FUNCTIONS ASSOCIATED WITH MULTI-LINEAR PSEUDO-DIFFERENTIAL OPERATORS.

Published in:

Communications on Pure & Applied Analysis, 2017, v. 16, n. 3, p. 883, doi. 10.3934/cpaa.2017042

By:

JIAO CHEN;
WEI DAI;
GUOZHEN LU

Publication type:

Article

QUALITATIVE PROPERTIES OF SOLUTIONS TO AN INTEGRAL SYSTEM ASSOCIATED WITH THE BESSEL POTENTIAL.

Published in:

Communications on Pure & Applied Analysis, 2016, v. 15, n. 3, p. 893, doi. 10.3934/cpaa.2016.15.893

By:

LU CHEN;
ZHAO LIU;
GUOZHEN LU

Publication type:

Article

REGULARITY OF SOLUTIONS TO AN INTEGRAL EQUATION ASSOCIATED WITH BESSEL POTENTIAL.

Published in:

Communications on Pure & Applied Analysis, 2011, v. 10, n. 4, p. 1111, doi. 10.3934/cpaa.2011.10.1111

By:

XIAOLONG HAN;
GUOZHEN LU

Publication type:

Article

ON REGULARITY OF SOLUTIONS TO AN INTEGRAL SYSTEM ASSOCIATED WITH BESSEL POTENTIALS.

Published in:

International Journal of Mathematics, 2012, v. 23, n. 5, p. 1250051-1, doi. 10.1142/S0129167X12500516

By:

HAN, XIAOLONG;
LU, GUOZHEN

Publication type:

Article

Epigenetic regulation of myelination in health and disease.

Published in:

European Journal of Neuroscience, 2019, v. 49, n. 11, p. 1371, doi. 10.1111/ejn.14337

By:

Guozhen Lu;
Ming Zhang;
Jian Wang;
Kaixiang Zhang;
Shengxi Wu;
Xianghui Zhao

Publication type:

Article